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Simplifying -5(4x + -2) = -3(3 + 6x) Reorder the terms: -5(-2 + 4x) = -3(3 + 6x) (-2 * -5 + 4x * -5) = -3(3 + 6x) (10 + -20x) = -3(3 + 6x) 10 + -20x = (3 * -3 + 6x * -3) 10 + -20x = (-9 + -18x) Solving 10 + -20x = -9 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 10 + -20x + 18x = -9 + -18x + 18x Combine like terms: -20x + 18x = -2x 10 + -2x = -9 + -18x + 18x Combine like terms: -18x + 18x = 0 10 + -2x = -9 + 0 10 + -2x = -9 Add '-10' to each side of the equation. 10 + -10 + -2x = -9 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -9 + -10 -2x = -9 + -10 Combine like terms: -9 + -10 = -19 -2x = -19 Divide each side by '-2'. x = 9.5 Simplifying x = 9.5
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