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Simplifying -2(7x + -2) = 3(-5x + -9) Reorder the terms: -2(-2 + 7x) = 3(-5x + -9) (-2 * -2 + 7x * -2) = 3(-5x + -9) (4 + -14x) = 3(-5x + -9) Reorder the terms: 4 + -14x = 3(-9 + -5x) 4 + -14x = (-9 * 3 + -5x * 3) 4 + -14x = (-27 + -15x) Solving 4 + -14x = -27 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 4 + -14x + 15x = -27 + -15x + 15x Combine like terms: -14x + 15x = 1x 4 + 1x = -27 + -15x + 15x Combine like terms: -15x + 15x = 0 4 + 1x = -27 + 0 4 + 1x = -27 Add '-4' to each side of the equation. 4 + -4 + 1x = -27 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = -27 + -4 1x = -27 + -4 Combine like terms: -27 + -4 = -31 1x = -31 Divide each side by '1'. x = -31 Simplifying x = -31
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