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Simplifying -8(x + -8) = -2x + 46 Reorder the terms: -8(-8 + x) = -2x + 46 (-8 * -8 + x * -8) = -2x + 46 (64 + -8x) = -2x + 46 Reorder the terms: 64 + -8x = 46 + -2x Solving 64 + -8x = 46 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 64 + -8x + 2x = 46 + -2x + 2x Combine like terms: -8x + 2x = -6x 64 + -6x = 46 + -2x + 2x Combine like terms: -2x + 2x = 0 64 + -6x = 46 + 0 64 + -6x = 46 Add '-64' to each side of the equation. 64 + -64 + -6x = 46 + -64 Combine like terms: 64 + -64 = 0 0 + -6x = 46 + -64 -6x = 46 + -64 Combine like terms: 46 + -64 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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