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Simplifying 4(7x + -1) = 3(2x + 1) + -4(x + 6) * fraction Reorder the terms: 4(-1 + 7x) = 3(2x + 1) + -4(x + 6) * fraction (-1 * 4 + 7x * 4) = 3(2x + 1) + -4(x + 6) * fraction (-4 + 28x) = 3(2x + 1) + -4(x + 6) * fraction Reorder the terms: -4 + 28x = 3(1 + 2x) + -4(x + 6) * fraction -4 + 28x = (1 * 3 + 2x * 3) + -4(x + 6) * fraction -4 + 28x = (3 + 6x) + -4(x + 6) * fraction Reorder the terms: -4 + 28x = 3 + 6x + -4(6 + x) * fraction Reorder the terms for easier multiplication: -4 + 28x = 3 + 6x + -4acfinort(6 + x) -4 + 28x = 3 + 6x + (6 * -4acfinort + x * -4acfinort) -4 + 28x = 3 + 6x + (-24acfinort + -4acfinortx) Reorder the terms: -4 + 28x = 3 + -24acfinort + -4acfinortx + 6x Solving -4 + 28x = 3 + -24acfinort + -4acfinortx + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4acfinortx' to each side of the equation. -4 + 4acfinortx + 28x = 3 + -24acfinort + -4acfinortx + 4acfinortx + 6x Combine like terms: -4acfinortx + 4acfinortx = 0 -4 + 4acfinortx + 28x = 3 + -24acfinort + 0 + 6x -4 + 4acfinortx + 28x = 3 + -24acfinort + 6x Add '-6x' to each side of the equation. -4 + 4acfinortx + 28x + -6x = 3 + -24acfinort + 6x + -6x Combine like terms: 28x + -6x = 22x -4 + 4acfinortx + 22x = 3 + -24acfinort + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 4acfinortx + 22x = 3 + -24acfinort + 0 -4 + 4acfinortx + 22x = 3 + -24acfinort Add '4' to each side of the equation. -4 + 4acfinortx + 4 + 22x = 3 + 4 + -24acfinort Reorder the terms: -4 + 4 + 4acfinortx + 22x = 3 + 4 + -24acfinort Combine like terms: -4 + 4 = 0 0 + 4acfinortx + 22x = 3 + 4 + -24acfinort 4acfinortx + 22x = 3 + 4 + -24acfinort Combine like terms: 3 + 4 = 7 4acfinortx + 22x = 7 + -24acfinort Reorder the terms: -7 + 24acfinort + 4acfinortx + 22x = 7 + -24acfinort + -7 + 24acfinort Reorder the terms: -7 + 24acfinort + 4acfinortx + 22x = 7 + -7 + -24acfinort + 24acfinort Combine like terms: 7 + -7 = 0 -7 + 24acfinort + 4acfinortx + 22x = 0 + -24acfinort + 24acfinort -7 + 24acfinort + 4acfinortx + 22x = -24acfinort + 24acfinort Combine like terms: -24acfinort + 24acfinort = 0 -7 + 24acfinort + 4acfinortx + 22x = 0 The solution to this equation could not be determined.
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