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Simplifying 5(3 + -2x) = 4(x + -1) (3 * 5 + -2x * 5) = 4(x + -1) (15 + -10x) = 4(x + -1) Reorder the terms: 15 + -10x = 4(-1 + x) 15 + -10x = (-1 * 4 + x * 4) 15 + -10x = (-4 + 4x) Solving 15 + -10x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 15 + -10x + -4x = -4 + 4x + -4x Combine like terms: -10x + -4x = -14x 15 + -14x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -14x = -4 + 0 15 + -14x = -4 Add '-15' to each side of the equation. 15 + -15 + -14x = -4 + -15 Combine like terms: 15 + -15 = 0 0 + -14x = -4 + -15 -14x = -4 + -15 Combine like terms: -4 + -15 = -19 -14x = -19 Divide each side by '-14'. x = 1.357142857 Simplifying x = 1.357142857
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