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Simplifying 6(5 + -2x) + -2(7 + -1x) = 2x (5 * 6 + -2x * 6) + -2(7 + -1x) = 2x (30 + -12x) + -2(7 + -1x) = 2x 30 + -12x + (7 * -2 + -1x * -2) = 2x 30 + -12x + (-14 + 2x) = 2x Reorder the terms: 30 + -14 + -12x + 2x = 2x Combine like terms: 30 + -14 = 16 16 + -12x + 2x = 2x Combine like terms: -12x + 2x = -10x 16 + -10x = 2x Solving 16 + -10x = 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. 16 + -10x + -2x = 2x + -2x Combine like terms: -10x + -2x = -12x 16 + -12x = 2x + -2x Combine like terms: 2x + -2x = 0 16 + -12x = 0 Add '-16' to each side of the equation. 16 + -16 + -12x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -12x = 0 + -16 -12x = 0 + -16 Combine like terms: 0 + -16 = -16 -12x = -16 Divide each side by '-12'. x = 1.333333333 Simplifying x = 1.333333333
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