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Simplifying 6(2x + -1) + -12 = -2(x + 1) Reorder the terms: 6(-1 + 2x) + -12 = -2(x + 1) (-1 * 6 + 2x * 6) + -12 = -2(x + 1) (-6 + 12x) + -12 = -2(x + 1) Reorder the terms: -6 + -12 + 12x = -2(x + 1) Combine like terms: -6 + -12 = -18 -18 + 12x = -2(x + 1) Reorder the terms: -18 + 12x = -2(1 + x) -18 + 12x = (1 * -2 + x * -2) -18 + 12x = (-2 + -2x) Solving -18 + 12x = -2 + -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. -18 + 12x + 2x = -2 + -2x + 2x Combine like terms: 12x + 2x = 14x -18 + 14x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 -18 + 14x = -2 + 0 -18 + 14x = -2 Add '18' to each side of the equation. -18 + 18 + 14x = -2 + 18 Combine like terms: -18 + 18 = 0 0 + 14x = -2 + 18 14x = -2 + 18 Combine like terms: -2 + 18 = 16 14x = 16 Divide each side by '14'. x = 1.142857143 Simplifying x = 1.142857143
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