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Simplifying -3(5 + -2x) = -15(4x + -1) (5 * -3 + -2x * -3) = -15(4x + -1) (-15 + 6x) = -15(4x + -1) Reorder the terms: -15 + 6x = -15(-1 + 4x) -15 + 6x = (-1 * -15 + 4x * -15) -15 + 6x = (15 + -60x) Solving -15 + 6x = 15 + -60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60x' to each side of the equation. -15 + 6x + 60x = 15 + -60x + 60x Combine like terms: 6x + 60x = 66x -15 + 66x = 15 + -60x + 60x Combine like terms: -60x + 60x = 0 -15 + 66x = 15 + 0 -15 + 66x = 15 Add '15' to each side of the equation. -15 + 15 + 66x = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 66x = 15 + 15 66x = 15 + 15 Combine like terms: 15 + 15 = 30 66x = 30 Divide each side by '66'. x = 0.4545454545 Simplifying x = 0.4545454545
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