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Simplifying 3(5 + -2x) = -1(x + 4) (5 * 3 + -2x * 3) = -1(x + 4) (15 + -6x) = -1(x + 4) Reorder the terms: 15 + -6x = -1(4 + x) 15 + -6x = (4 * -1 + x * -1) 15 + -6x = (-4 + -1x) Solving 15 + -6x = -4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 15 + -6x + x = -4 + -1x + x Combine like terms: -6x + x = -5x 15 + -5x = -4 + -1x + x Combine like terms: -1x + x = 0 15 + -5x = -4 + 0 15 + -5x = -4 Add '-15' to each side of the equation. 15 + -15 + -5x = -4 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = -4 + -15 -5x = -4 + -15 Combine like terms: -4 + -15 = -19 -5x = -19 Divide each side by '-5'. x = 3.8 Simplifying x = 3.8
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