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Simplifying -3x + 8 + -4(x + -1) = -1(2x + -7) + -4x + 4 Reorder the terms: -3x + 8 + -4(-1 + x) = -1(2x + -7) + -4x + 4 -3x + 8 + (-1 * -4 + x * -4) = -1(2x + -7) + -4x + 4 -3x + 8 + (4 + -4x) = -1(2x + -7) + -4x + 4 Reorder the terms: 8 + 4 + -3x + -4x = -1(2x + -7) + -4x + 4 Combine like terms: 8 + 4 = 12 12 + -3x + -4x = -1(2x + -7) + -4x + 4 Combine like terms: -3x + -4x = -7x 12 + -7x = -1(2x + -7) + -4x + 4 Reorder the terms: 12 + -7x = -1(-7 + 2x) + -4x + 4 12 + -7x = (-7 * -1 + 2x * -1) + -4x + 4 12 + -7x = (7 + -2x) + -4x + 4 Reorder the terms: 12 + -7x = 7 + 4 + -2x + -4x Combine like terms: 7 + 4 = 11 12 + -7x = 11 + -2x + -4x Combine like terms: -2x + -4x = -6x 12 + -7x = 11 + -6x Solving 12 + -7x = 11 + -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 + -7x + 6x = 11 + -6x + 6x Combine like terms: -7x + 6x = -1x 12 + -1x = 11 + -6x + 6x Combine like terms: -6x + 6x = 0 12 + -1x = 11 + 0 12 + -1x = 11 Add '-12' to each side of the equation. 12 + -12 + -1x = 11 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 11 + -12 -1x = 11 + -12 Combine like terms: 11 + -12 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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