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Simplifying 2(x + 4) + -5 = 5(x + 3) Reorder the terms: 2(4 + x) + -5 = 5(x + 3) (4 * 2 + x * 2) + -5 = 5(x + 3) (8 + 2x) + -5 = 5(x + 3) Reorder the terms: 8 + -5 + 2x = 5(x + 3) Combine like terms: 8 + -5 = 3 3 + 2x = 5(x + 3) Reorder the terms: 3 + 2x = 5(3 + x) 3 + 2x = (3 * 5 + x * 5) 3 + 2x = (15 + 5x) Solving 3 + 2x = 15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3 + 2x + -5x = 15 + 5x + -5x Combine like terms: 2x + -5x = -3x 3 + -3x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + -3x = 15 + 0 3 + -3x = 15 Add '-3' to each side of the equation. 3 + -3 + -3x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = 15 + -3 -3x = 15 + -3 Combine like terms: 15 + -3 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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