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Simplifying 3(x + 5) + -2x + 7 = -2(x + -5) + -15 Reorder the terms: 3(5 + x) + -2x + 7 = -2(x + -5) + -15 (5 * 3 + x * 3) + -2x + 7 = -2(x + -5) + -15 (15 + 3x) + -2x + 7 = -2(x + -5) + -15 Reorder the terms: 15 + 7 + 3x + -2x = -2(x + -5) + -15 Combine like terms: 15 + 7 = 22 22 + 3x + -2x = -2(x + -5) + -15 Combine like terms: 3x + -2x = 1x 22 + 1x = -2(x + -5) + -15 Reorder the terms: 22 + 1x = -2(-5 + x) + -15 22 + 1x = (-5 * -2 + x * -2) + -15 22 + 1x = (10 + -2x) + -15 Reorder the terms: 22 + 1x = 10 + -15 + -2x Combine like terms: 10 + -15 = -5 22 + 1x = -5 + -2x Solving 22 + 1x = -5 + -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. 22 + 1x + 2x = -5 + -2x + 2x Combine like terms: 1x + 2x = 3x 22 + 3x = -5 + -2x + 2x Combine like terms: -2x + 2x = 0 22 + 3x = -5 + 0 22 + 3x = -5 Add '-22' to each side of the equation. 22 + -22 + 3x = -5 + -22 Combine like terms: 22 + -22 = 0 0 + 3x = -5 + -22 3x = -5 + -22 Combine like terms: -5 + -22 = -27 3x = -27 Divide each side by '3'. x = -9 Simplifying x = -9
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