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Simplifying -2(x + -4) + -3x = -1(4x + 1) + 2x Reorder the terms: -2(-4 + x) + -3x = -1(4x + 1) + 2x (-4 * -2 + x * -2) + -3x = -1(4x + 1) + 2x (8 + -2x) + -3x = -1(4x + 1) + 2x Combine like terms: -2x + -3x = -5x 8 + -5x = -1(4x + 1) + 2x Reorder the terms: 8 + -5x = -1(1 + 4x) + 2x 8 + -5x = (1 * -1 + 4x * -1) + 2x 8 + -5x = (-1 + -4x) + 2x Combine like terms: -4x + 2x = -2x 8 + -5x = -1 + -2x Solving 8 + -5x = -1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 8 + -5x + 2x = -1 + -2x + 2x Combine like terms: -5x + 2x = -3x 8 + -3x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + -3x = -1 + 0 8 + -3x = -1 Add '-8' to each side of the equation. 8 + -8 + -3x = -1 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = -1 + -8 -3x = -1 + -8 Combine like terms: -1 + -8 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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