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Simplifying -2(4x + -6) + -12 = -2(8x + 6) + -2 Reorder the terms: -2(-6 + 4x) + -12 = -2(8x + 6) + -2 (-6 * -2 + 4x * -2) + -12 = -2(8x + 6) + -2 (12 + -8x) + -12 = -2(8x + 6) + -2 Reorder the terms: 12 + -12 + -8x = -2(8x + 6) + -2 Combine like terms: 12 + -12 = 0 0 + -8x = -2(8x + 6) + -2 -8x = -2(8x + 6) + -2 Reorder the terms: -8x = -2(6 + 8x) + -2 -8x = (6 * -2 + 8x * -2) + -2 -8x = (-12 + -16x) + -2 Reorder the terms: -8x = -12 + -2 + -16x Combine like terms: -12 + -2 = -14 -8x = -14 + -16x Solving -8x = -14 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -8x + 16x = -14 + -16x + 16x Combine like terms: -8x + 16x = 8x 8x = -14 + -16x + 16x Combine like terms: -16x + 16x = 0 8x = -14 + 0 8x = -14 Divide each side by '8'. x = -1.75 Simplifying x = -1.75
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