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Simplifying (3x + -4) + -1(5x + -8) = -1(x + 12) + -6x + 1 Reorder the terms: (-4 + 3x) + -1(5x + -8) = -1(x + 12) + -6x + 1 Remove parenthesis around (-4 + 3x) -4 + 3x + -1(5x + -8) = -1(x + 12) + -6x + 1 Reorder the terms: -4 + 3x + -1(-8 + 5x) = -1(x + 12) + -6x + 1 -4 + 3x + (-8 * -1 + 5x * -1) = -1(x + 12) + -6x + 1 -4 + 3x + (8 + -5x) = -1(x + 12) + -6x + 1 Reorder the terms: -4 + 8 + 3x + -5x = -1(x + 12) + -6x + 1 Combine like terms: -4 + 8 = 4 4 + 3x + -5x = -1(x + 12) + -6x + 1 Combine like terms: 3x + -5x = -2x 4 + -2x = -1(x + 12) + -6x + 1 Reorder the terms: 4 + -2x = -1(12 + x) + -6x + 1 4 + -2x = (12 * -1 + x * -1) + -6x + 1 4 + -2x = (-12 + -1x) + -6x + 1 Reorder the terms: 4 + -2x = -12 + 1 + -1x + -6x Combine like terms: -12 + 1 = -11 4 + -2x = -11 + -1x + -6x Combine like terms: -1x + -6x = -7x 4 + -2x = -11 + -7x Solving 4 + -2x = -11 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 4 + -2x + 7x = -11 + -7x + 7x Combine like terms: -2x + 7x = 5x 4 + 5x = -11 + -7x + 7x Combine like terms: -7x + 7x = 0 4 + 5x = -11 + 0 4 + 5x = -11 Add '-4' to each side of the equation. 4 + -4 + 5x = -11 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = -11 + -4 5x = -11 + -4 Combine like terms: -11 + -4 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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