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