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Simplifying 2(x + -1) = 6x + 6 + -2(-6x + -3) Reorder the terms: 2(-1 + x) = 6x + 6 + -2(-6x + -3) (-1 * 2 + x * 2) = 6x + 6 + -2(-6x + -3) (-2 + 2x) = 6x + 6 + -2(-6x + -3) Reorder the terms: -2 + 2x = 6x + 6 + -2(-3 + -6x) -2 + 2x = 6x + 6 + (-3 * -2 + -6x * -2) -2 + 2x = 6x + 6 + (6 + 12x) Reorder the terms: -2 + 2x = 6 + 6 + 6x + 12x Combine like terms: 6 + 6 = 12 -2 + 2x = 12 + 6x + 12x Combine like terms: 6x + 12x = 18x -2 + 2x = 12 + 18x Solving -2 + 2x = 12 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -2 + 2x + -18x = 12 + 18x + -18x Combine like terms: 2x + -18x = -16x -2 + -16x = 12 + 18x + -18x Combine like terms: 18x + -18x = 0 -2 + -16x = 12 + 0 -2 + -16x = 12 Add '2' to each side of the equation. -2 + 2 + -16x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -16x = 12 + 2 -16x = 12 + 2 Combine like terms: 12 + 2 = 14 -16x = 14 Divide each side by '-16'. x = -0.875 Simplifying x = -0.875
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