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Simplifying 8x + -4(x + 3) = 4(7x + 1) Reorder the terms: 8x + -4(3 + x) = 4(7x + 1) 8x + (3 * -4 + x * -4) = 4(7x + 1) 8x + (-12 + -4x) = 4(7x + 1) Reorder the terms: -12 + 8x + -4x = 4(7x + 1) Combine like terms: 8x + -4x = 4x -12 + 4x = 4(7x + 1) Reorder the terms: -12 + 4x = 4(1 + 7x) -12 + 4x = (1 * 4 + 7x * 4) -12 + 4x = (4 + 28x) Solving -12 + 4x = 4 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -12 + 4x + -28x = 4 + 28x + -28x Combine like terms: 4x + -28x = -24x -12 + -24x = 4 + 28x + -28x Combine like terms: 28x + -28x = 0 -12 + -24x = 4 + 0 -12 + -24x = 4 Add '12' to each side of the equation. -12 + 12 + -24x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + -24x = 4 + 12 -24x = 4 + 12 Combine like terms: 4 + 12 = 16 -24x = 16 Divide each side by '-24'. x = -0.6666666667 Simplifying x = -0.6666666667
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