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Simplifying -2(3x + -6) + -12 = -2(7x + 6) + -2 Reorder the terms: -2(-6 + 3x) + -12 = -2(7x + 6) + -2 (-6 * -2 + 3x * -2) + -12 = -2(7x + 6) + -2 (12 + -6x) + -12 = -2(7x + 6) + -2 Reorder the terms: 12 + -12 + -6x = -2(7x + 6) + -2 Combine like terms: 12 + -12 = 0 0 + -6x = -2(7x + 6) + -2 -6x = -2(7x + 6) + -2 Reorder the terms: -6x = -2(6 + 7x) + -2 -6x = (6 * -2 + 7x * -2) + -2 -6x = (-12 + -14x) + -2 Reorder the terms: -6x = -12 + -2 + -14x Combine like terms: -12 + -2 = -14 -6x = -14 + -14x Solving -6x = -14 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -6x + 14x = -14 + -14x + 14x Combine like terms: -6x + 14x = 8x 8x = -14 + -14x + 14x Combine like terms: -14x + 14x = 0 8x = -14 + 0 8x = -14 Divide each side by '8'. x = -1.75 Simplifying x = -1.75
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