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Simplifying 2(x + 7) + 5 = 5(x + 4) + 8 Reorder the terms: 2(7 + x) + 5 = 5(x + 4) + 8 (7 * 2 + x * 2) + 5 = 5(x + 4) + 8 (14 + 2x) + 5 = 5(x + 4) + 8 Reorder the terms: 14 + 5 + 2x = 5(x + 4) + 8 Combine like terms: 14 + 5 = 19 19 + 2x = 5(x + 4) + 8 Reorder the terms: 19 + 2x = 5(4 + x) + 8 19 + 2x = (4 * 5 + x * 5) + 8 19 + 2x = (20 + 5x) + 8 Reorder the terms: 19 + 2x = 20 + 8 + 5x Combine like terms: 20 + 8 = 28 19 + 2x = 28 + 5x Solving 19 + 2x = 28 + 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. 19 + 2x + -5x = 28 + 5x + -5x Combine like terms: 2x + -5x = -3x 19 + -3x = 28 + 5x + -5x Combine like terms: 5x + -5x = 0 19 + -3x = 28 + 0 19 + -3x = 28 Add '-19' to each side of the equation. 19 + -19 + -3x = 28 + -19 Combine like terms: 19 + -19 = 0 0 + -3x = 28 + -19 -3x = 28 + -19 Combine like terms: 28 + -19 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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