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Simplifying 2x + -2(8x + -6) = 2(x + -5) + -2(x + -1) Reorder the terms: 2x + -2(-6 + 8x) = 2(x + -5) + -2(x + -1) 2x + (-6 * -2 + 8x * -2) = 2(x + -5) + -2(x + -1) 2x + (12 + -16x) = 2(x + -5) + -2(x + -1) Reorder the terms: 12 + 2x + -16x = 2(x + -5) + -2(x + -1) Combine like terms: 2x + -16x = -14x 12 + -14x = 2(x + -5) + -2(x + -1) Reorder the terms: 12 + -14x = 2(-5 + x) + -2(x + -1) 12 + -14x = (-5 * 2 + x * 2) + -2(x + -1) 12 + -14x = (-10 + 2x) + -2(x + -1) Reorder the terms: 12 + -14x = -10 + 2x + -2(-1 + x) 12 + -14x = -10 + 2x + (-1 * -2 + x * -2) 12 + -14x = -10 + 2x + (2 + -2x) Reorder the terms: 12 + -14x = -10 + 2 + 2x + -2x Combine like terms: -10 + 2 = -8 12 + -14x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -14x = -8 + 0 12 + -14x = -8 Solving 12 + -14x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -14x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -14x = -8 + -12 -14x = -8 + -12 Combine like terms: -8 + -12 = -20 -14x = -20 Divide each side by '-14'. x = 1.428571429 Simplifying x = 1.428571429
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