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Simplifying 10x + (10 + -9x) + 2(x + -1) = 68 + -8(x + -3) + 2x Remove parenthesis around (10 + -9x) 10x + 10 + -9x + 2(x + -1) = 68 + -8(x + -3) + 2x Reorder the terms: 10x + 10 + -9x + 2(-1 + x) = 68 + -8(x + -3) + 2x 10x + 10 + -9x + (-1 * 2 + x * 2) = 68 + -8(x + -3) + 2x 10x + 10 + -9x + (-2 + 2x) = 68 + -8(x + -3) + 2x Reorder the terms: 10 + -2 + 10x + -9x + 2x = 68 + -8(x + -3) + 2x Combine like terms: 10 + -2 = 8 8 + 10x + -9x + 2x = 68 + -8(x + -3) + 2x Combine like terms: 10x + -9x = 1x 8 + 1x + 2x = 68 + -8(x + -3) + 2x Combine like terms: 1x + 2x = 3x 8 + 3x = 68 + -8(x + -3) + 2x Reorder the terms: 8 + 3x = 68 + -8(-3 + x) + 2x 8 + 3x = 68 + (-3 * -8 + x * -8) + 2x 8 + 3x = 68 + (24 + -8x) + 2x Combine like terms: 68 + 24 = 92 8 + 3x = 92 + -8x + 2x Combine like terms: -8x + 2x = -6x 8 + 3x = 92 + -6x Solving 8 + 3x = 92 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 8 + 3x + 6x = 92 + -6x + 6x Combine like terms: 3x + 6x = 9x 8 + 9x = 92 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 9x = 92 + 0 8 + 9x = 92 Add '-8' to each side of the equation. 8 + -8 + 9x = 92 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = 92 + -8 9x = 92 + -8 Combine like terms: 92 + -8 = 84 9x = 84 Divide each side by '9'. x = 9.333333333 Simplifying x = 9.333333333
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