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Simplifying -2(4x + -1) = 5(2x + 3) Reorder the terms: -2(-1 + 4x) = 5(2x + 3) (-1 * -2 + 4x * -2) = 5(2x + 3) (2 + -8x) = 5(2x + 3) Reorder the terms: 2 + -8x = 5(3 + 2x) 2 + -8x = (3 * 5 + 2x * 5) 2 + -8x = (15 + 10x) Solving 2 + -8x = 15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 2 + -8x + -10x = 15 + 10x + -10x Combine like terms: -8x + -10x = -18x 2 + -18x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + -18x = 15 + 0 2 + -18x = 15 Add '-2' to each side of the equation. 2 + -2 + -18x = 15 + -2 Combine like terms: 2 + -2 = 0 0 + -18x = 15 + -2 -18x = 15 + -2 Combine like terms: 15 + -2 = 13 -18x = 13 Divide each side by '-18'. x = -0.7222222222 Simplifying x = -0.7222222222
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