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Simplifying 8(9 + x) + -12 = 5(2x + 6) (9 * 8 + x * 8) + -12 = 5(2x + 6) (72 + 8x) + -12 = 5(2x + 6) Reorder the terms: 72 + -12 + 8x = 5(2x + 6) Combine like terms: 72 + -12 = 60 60 + 8x = 5(2x + 6) Reorder the terms: 60 + 8x = 5(6 + 2x) 60 + 8x = (6 * 5 + 2x * 5) 60 + 8x = (30 + 10x) Solving 60 + 8x = 30 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 60 + 8x + -10x = 30 + 10x + -10x Combine like terms: 8x + -10x = -2x 60 + -2x = 30 + 10x + -10x Combine like terms: 10x + -10x = 0 60 + -2x = 30 + 0 60 + -2x = 30 Add '-60' to each side of the equation. 60 + -60 + -2x = 30 + -60 Combine like terms: 60 + -60 = 0 0 + -2x = 30 + -60 -2x = 30 + -60 Combine like terms: 30 + -60 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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