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Simplifying 6(x + 10) = 8(x + -8) Reorder the terms: 6(10 + x) = 8(x + -8) (10 * 6 + x * 6) = 8(x + -8) (60 + 6x) = 8(x + -8) Reorder the terms: 60 + 6x = 8(-8 + x) 60 + 6x = (-8 * 8 + x * 8) 60 + 6x = (-64 + 8x) Solving 60 + 6x = -64 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 60 + 6x + -8x = -64 + 8x + -8x Combine like terms: 6x + -8x = -2x 60 + -2x = -64 + 8x + -8x Combine like terms: 8x + -8x = 0 60 + -2x = -64 + 0 60 + -2x = -64 Add '-60' to each side of the equation. 60 + -60 + -2x = -64 + -60 Combine like terms: 60 + -60 = 0 0 + -2x = -64 + -60 -2x = -64 + -60 Combine like terms: -64 + -60 = -124 -2x = -124 Divide each side by '-2'. x = 62 Simplifying x = 62
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