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Simplifying 2(x + -8) + 8 = 2x + -8(8 + -1x) Reorder the terms: 2(-8 + x) + 8 = 2x + -8(8 + -1x) (-8 * 2 + x * 2) + 8 = 2x + -8(8 + -1x) (-16 + 2x) + 8 = 2x + -8(8 + -1x) Reorder the terms: -16 + 8 + 2x = 2x + -8(8 + -1x) Combine like terms: -16 + 8 = -8 -8 + 2x = 2x + -8(8 + -1x) -8 + 2x = 2x + (8 * -8 + -1x * -8) -8 + 2x = 2x + (-64 + 8x) Reorder the terms: -8 + 2x = -64 + 2x + 8x Combine like terms: 2x + 8x = 10x -8 + 2x = -64 + 10x Solving -8 + 2x = -64 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -8 + 2x + -10x = -64 + 10x + -10x Combine like terms: 2x + -10x = -8x -8 + -8x = -64 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 + -8x = -64 + 0 -8 + -8x = -64 Add '8' to each side of the equation. -8 + 8 + -8x = -64 + 8 Combine like terms: -8 + 8 = 0 0 + -8x = -64 + 8 -8x = -64 + 8 Combine like terms: -64 + 8 = -56 -8x = -56 Divide each side by '-8'. x = 7 Simplifying x = 7
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