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Simplifying 5(x + 4) + -8 = 2(x + 3) + -15 Reorder the terms: 5(4 + x) + -8 = 2(x + 3) + -15 (4 * 5 + x * 5) + -8 = 2(x + 3) + -15 (20 + 5x) + -8 = 2(x + 3) + -15 Reorder the terms: 20 + -8 + 5x = 2(x + 3) + -15 Combine like terms: 20 + -8 = 12 12 + 5x = 2(x + 3) + -15 Reorder the terms: 12 + 5x = 2(3 + x) + -15 12 + 5x = (3 * 2 + x * 2) + -15 12 + 5x = (6 + 2x) + -15 Reorder the terms: 12 + 5x = 6 + -15 + 2x Combine like terms: 6 + -15 = -9 12 + 5x = -9 + 2x Solving 12 + 5x = -9 + 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. 12 + 5x + -2x = -9 + 2x + -2x Combine like terms: 5x + -2x = 3x 12 + 3x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 3x = -9 + 0 12 + 3x = -9 Add '-12' to each side of the equation. 12 + -12 + 3x = -9 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = -9 + -12 3x = -9 + -12 Combine like terms: -9 + -12 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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