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Simplifying 3(x + 5) + -2 = 5(x + 4) + -13 Reorder the terms: 3(5 + x) + -2 = 5(x + 4) + -13 (5 * 3 + x * 3) + -2 = 5(x + 4) + -13 (15 + 3x) + -2 = 5(x + 4) + -13 Reorder the terms: 15 + -2 + 3x = 5(x + 4) + -13 Combine like terms: 15 + -2 = 13 13 + 3x = 5(x + 4) + -13 Reorder the terms: 13 + 3x = 5(4 + x) + -13 13 + 3x = (4 * 5 + x * 5) + -13 13 + 3x = (20 + 5x) + -13 Reorder the terms: 13 + 3x = 20 + -13 + 5x Combine like terms: 20 + -13 = 7 13 + 3x = 7 + 5x Solving 13 + 3x = 7 + 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. 13 + 3x + -5x = 7 + 5x + -5x Combine like terms: 3x + -5x = -2x 13 + -2x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + -2x = 7 + 0 13 + -2x = 7 Add '-13' to each side of the equation. 13 + -13 + -2x = 7 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = 7 + -13 -2x = 7 + -13 Combine like terms: 7 + -13 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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