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Simplifying 6(3x + -1) + -8 = 140 + 2(x + -1) Reorder the terms: 6(-1 + 3x) + -8 = 140 + 2(x + -1) (-1 * 6 + 3x * 6) + -8 = 140 + 2(x + -1) (-6 + 18x) + -8 = 140 + 2(x + -1) Reorder the terms: -6 + -8 + 18x = 140 + 2(x + -1) Combine like terms: -6 + -8 = -14 -14 + 18x = 140 + 2(x + -1) Reorder the terms: -14 + 18x = 140 + 2(-1 + x) -14 + 18x = 140 + (-1 * 2 + x * 2) -14 + 18x = 140 + (-2 + 2x) Combine like terms: 140 + -2 = 138 -14 + 18x = 138 + 2x Solving -14 + 18x = 138 + 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. -14 + 18x + -2x = 138 + 2x + -2x Combine like terms: 18x + -2x = 16x -14 + 16x = 138 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 16x = 138 + 0 -14 + 16x = 138 Add '14' to each side of the equation. -14 + 14 + 16x = 138 + 14 Combine like terms: -14 + 14 = 0 0 + 16x = 138 + 14 16x = 138 + 14 Combine like terms: 138 + 14 = 152 16x = 152 Divide each side by '16'. x = 9.5 Simplifying x = 9.5
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