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Simplifying 4 + -4(-1x + 4) = 6(x + -7) Reorder the terms: 4 + -4(4 + -1x) = 6(x + -7) 4 + (4 * -4 + -1x * -4) = 6(x + -7) 4 + (-16 + 4x) = 6(x + -7) Combine like terms: 4 + -16 = -12 -12 + 4x = 6(x + -7) Reorder the terms: -12 + 4x = 6(-7 + x) -12 + 4x = (-7 * 6 + x * 6) -12 + 4x = (-42 + 6x) Solving -12 + 4x = -42 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 4x + -6x = -42 + 6x + -6x Combine like terms: 4x + -6x = -2x -12 + -2x = -42 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -2x = -42 + 0 -12 + -2x = -42 Add '12' to each side of the equation. -12 + 12 + -2x = -42 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = -42 + 12 -2x = -42 + 12 Combine like terms: -42 + 12 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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