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Simplifying 5(x + 3) = 2(x + -4) + -2x Reorder the terms: 5(3 + x) = 2(x + -4) + -2x (3 * 5 + x * 5) = 2(x + -4) + -2x (15 + 5x) = 2(x + -4) + -2x Reorder the terms: 15 + 5x = 2(-4 + x) + -2x 15 + 5x = (-4 * 2 + x * 2) + -2x 15 + 5x = (-8 + 2x) + -2x Combine like terms: 2x + -2x = 0 15 + 5x = -8 + 0 15 + 5x = -8 Solving 15 + 5x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 5x = -8 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = -8 + -15 5x = -8 + -15 Combine like terms: -8 + -15 = -23 5x = -23 Divide each side by '5'. x = -4.6 Simplifying x = -4.6
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