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