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Simplifying -2(x + 1) + -6 = 2(6x + -2) + 3 Reorder the terms: -2(1 + x) + -6 = 2(6x + -2) + 3 (1 * -2 + x * -2) + -6 = 2(6x + -2) + 3 (-2 + -2x) + -6 = 2(6x + -2) + 3 Reorder the terms: -2 + -6 + -2x = 2(6x + -2) + 3 Combine like terms: -2 + -6 = -8 -8 + -2x = 2(6x + -2) + 3 Reorder the terms: -8 + -2x = 2(-2 + 6x) + 3 -8 + -2x = (-2 * 2 + 6x * 2) + 3 -8 + -2x = (-4 + 12x) + 3 Reorder the terms: -8 + -2x = -4 + 3 + 12x Combine like terms: -4 + 3 = -1 -8 + -2x = -1 + 12x Solving -8 + -2x = -1 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -8 + -2x + -12x = -1 + 12x + -12x Combine like terms: -2x + -12x = -14x -8 + -14x = -1 + 12x + -12x Combine like terms: 12x + -12x = 0 -8 + -14x = -1 + 0 -8 + -14x = -1 Add '8' to each side of the equation. -8 + 8 + -14x = -1 + 8 Combine like terms: -8 + 8 = 0 0 + -14x = -1 + 8 -14x = -1 + 8 Combine like terms: -1 + 8 = 7 -14x = 7 Divide each side by '-14'. x = -0.5 Simplifying x = -0.5
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