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Simplifying 6 + -2x = 8(x + -8) Reorder the terms: 6 + -2x = 8(-8 + x) 6 + -2x = (-8 * 8 + x * 8) 6 + -2x = (-64 + 8x) Solving 6 + -2x = -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. 6 + -2x + -8x = -64 + 8x + -8x Combine like terms: -2x + -8x = -10x 6 + -10x = -64 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -10x = -64 + 0 6 + -10x = -64 Add '-6' to each side of the equation. 6 + -6 + -10x = -64 + -6 Combine like terms: 6 + -6 = 0 0 + -10x = -64 + -6 -10x = -64 + -6 Combine like terms: -64 + -6 = -70 -10x = -70 Divide each side by '-10'. x = 7 Simplifying x = 7
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