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Simplifying 2(x + -6) + 7 = 8(x + -8) Reorder the terms: 2(-6 + x) + 7 = 8(x + -8) (-6 * 2 + x * 2) + 7 = 8(x + -8) (-12 + 2x) + 7 = 8(x + -8) Reorder the terms: -12 + 7 + 2x = 8(x + -8) Combine like terms: -12 + 7 = -5 -5 + 2x = 8(x + -8) Reorder the terms: -5 + 2x = 8(-8 + x) -5 + 2x = (-8 * 8 + x * 8) -5 + 2x = (-64 + 8x) Solving -5 + 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. -5 + 2x + -8x = -64 + 8x + -8x Combine like terms: 2x + -8x = -6x -5 + -6x = -64 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -6x = -64 + 0 -5 + -6x = -64 Add '5' to each side of the equation. -5 + 5 + -6x = -64 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = -64 + 5 -6x = -64 + 5 Combine like terms: -64 + 5 = -59 -6x = -59 Divide each side by '-6'. x = 9.833333333 Simplifying x = 9.833333333
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