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Simplifying 3(x + 5) + x = 2(x + 2) + -5 Reorder the terms: 3(5 + x) + x = 2(x + 2) + -5 (5 * 3 + x * 3) + x = 2(x + 2) + -5 (15 + 3x) + x = 2(x + 2) + -5 Combine like terms: 3x + x = 4x 15 + 4x = 2(x + 2) + -5 Reorder the terms: 15 + 4x = 2(2 + x) + -5 15 + 4x = (2 * 2 + x * 2) + -5 15 + 4x = (4 + 2x) + -5 Reorder the terms: 15 + 4x = 4 + -5 + 2x Combine like terms: 4 + -5 = -1 15 + 4x = -1 + 2x Solving 15 + 4x = -1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 15 + 4x + -2x = -1 + 2x + -2x Combine like terms: 4x + -2x = 2x 15 + 2x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 2x = -1 + 0 15 + 2x = -1 Add '-15' to each side of the equation. 15 + -15 + 2x = -1 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = -1 + -15 2x = -1 + -15 Combine like terms: -1 + -15 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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