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Simplifying 5(x + 2) + -7 = 5(2x + 3) + -1 Reorder the terms: 5(2 + x) + -7 = 5(2x + 3) + -1 (2 * 5 + x * 5) + -7 = 5(2x + 3) + -1 (10 + 5x) + -7 = 5(2x + 3) + -1 Reorder the terms: 10 + -7 + 5x = 5(2x + 3) + -1 Combine like terms: 10 + -7 = 3 3 + 5x = 5(2x + 3) + -1 Reorder the terms: 3 + 5x = 5(3 + 2x) + -1 3 + 5x = (3 * 5 + 2x * 5) + -1 3 + 5x = (15 + 10x) + -1 Reorder the terms: 3 + 5x = 15 + -1 + 10x Combine like terms: 15 + -1 = 14 3 + 5x = 14 + 10x Solving 3 + 5x = 14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 3 + 5x + -10x = 14 + 10x + -10x Combine like terms: 5x + -10x = -5x 3 + -5x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 3 + -5x = 14 + 0 3 + -5x = 14 Add '-3' to each side of the equation. 3 + -3 + -5x = 14 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 14 + -3 -5x = 14 + -3 Combine like terms: 14 + -3 = 11 -5x = 11 Divide each side by '-5'. x = -2.2 Simplifying x = -2.2
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