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