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Simplifying 10x + (8x + 6) + -1(12x + -8) = 2x Reorder the terms: 10x + (6 + 8x) + -1(12x + -8) = 2x Remove parenthesis around (6 + 8x) 10x + 6 + 8x + -1(12x + -8) = 2x Reorder the terms: 10x + 6 + 8x + -1(-8 + 12x) = 2x 10x + 6 + 8x + (-8 * -1 + 12x * -1) = 2x 10x + 6 + 8x + (8 + -12x) = 2x Reorder the terms: 6 + 8 + 10x + 8x + -12x = 2x Combine like terms: 6 + 8 = 14 14 + 10x + 8x + -12x = 2x Combine like terms: 10x + 8x = 18x 14 + 18x + -12x = 2x Combine like terms: 18x + -12x = 6x 14 + 6x = 2x Solving 14 + 6x = 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 + 6x + -2x = 2x + -2x Combine like terms: 6x + -2x = 4x 14 + 4x = 2x + -2x Combine like terms: 2x + -2x = 0 14 + 4x = 0 Add '-14' to each side of the equation. 14 + -14 + 4x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = 0 + -14 4x = 0 + -14 Combine like terms: 0 + -14 = -14 4x = -14 Divide each side by '4'. x = -3.5 Simplifying x = -3.5
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