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Simplifying (3x + -2) + (10 + -5x) = 4x + -1(6 + -6x) Reorder the terms: (-2 + 3x) + (10 + -5x) = 4x + -1(6 + -6x) Remove parenthesis around (-2 + 3x) -2 + 3x + (10 + -5x) = 4x + -1(6 + -6x) Remove parenthesis around (10 + -5x) -2 + 3x + 10 + -5x = 4x + -1(6 + -6x) Reorder the terms: -2 + 10 + 3x + -5x = 4x + -1(6 + -6x) Combine like terms: -2 + 10 = 8 8 + 3x + -5x = 4x + -1(6 + -6x) Combine like terms: 3x + -5x = -2x 8 + -2x = 4x + -1(6 + -6x) 8 + -2x = 4x + (6 * -1 + -6x * -1) 8 + -2x = 4x + (-6 + 6x) Reorder the terms: 8 + -2x = -6 + 4x + 6x Combine like terms: 4x + 6x = 10x 8 + -2x = -6 + 10x Solving 8 + -2x = -6 + 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 = -6 + 10x + -10x Combine like terms: -2x + -10x = -12x 8 + -12x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 8 + -12x = -6 + 0 8 + -12x = -6 Add '-8' to each side of the equation. 8 + -8 + -12x = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -12x = -6 + -8 -12x = -6 + -8 Combine like terms: -6 + -8 = -14 -12x = -14 Divide each side by '-12'. x = 1.166666667 Simplifying x = 1.166666667
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