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Simplifying 8(x + -8) + 8 = 34 + -2x Reorder the terms: 8(-8 + x) + 8 = 34 + -2x (-8 * 8 + x * 8) + 8 = 34 + -2x (-64 + 8x) + 8 = 34 + -2x Reorder the terms: -64 + 8 + 8x = 34 + -2x Combine like terms: -64 + 8 = -56 -56 + 8x = 34 + -2x Solving -56 + 8x = 34 + -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. -56 + 8x + 2x = 34 + -2x + 2x Combine like terms: 8x + 2x = 10x -56 + 10x = 34 + -2x + 2x Combine like terms: -2x + 2x = 0 -56 + 10x = 34 + 0 -56 + 10x = 34 Add '56' to each side of the equation. -56 + 56 + 10x = 34 + 56 Combine like terms: -56 + 56 = 0 0 + 10x = 34 + 56 10x = 34 + 56 Combine like terms: 34 + 56 = 90 10x = 90 Divide each side by '10'. x = 9 Simplifying x = 9
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