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Simplifying 6 + 8(x + -8) = 8 + -8(x + -8) Reorder the terms: 6 + 8(-8 + x) = 8 + -8(x + -8) 6 + (-8 * 8 + x * 8) = 8 + -8(x + -8) 6 + (-64 + 8x) = 8 + -8(x + -8) Combine like terms: 6 + -64 = -58 -58 + 8x = 8 + -8(x + -8) Reorder the terms: -58 + 8x = 8 + -8(-8 + x) -58 + 8x = 8 + (-8 * -8 + x * -8) -58 + 8x = 8 + (64 + -8x) Combine like terms: 8 + 64 = 72 -58 + 8x = 72 + -8x Solving -58 + 8x = 72 + -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. -58 + 8x + 8x = 72 + -8x + 8x Combine like terms: 8x + 8x = 16x -58 + 16x = 72 + -8x + 8x Combine like terms: -8x + 8x = 0 -58 + 16x = 72 + 0 -58 + 16x = 72 Add '58' to each side of the equation. -58 + 58 + 16x = 72 + 58 Combine like terms: -58 + 58 = 0 0 + 16x = 72 + 58 16x = 72 + 58 Combine like terms: 72 + 58 = 130 16x = 130 Divide each side by '16'. x = 8.125 Simplifying x = 8.125
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