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Simplifying 8(-2x + -4) + 12 = -2(6x + 9) + -10 Reorder the terms: 8(-4 + -2x) + 12 = -2(6x + 9) + -10 (-4 * 8 + -2x * 8) + 12 = -2(6x + 9) + -10 (-32 + -16x) + 12 = -2(6x + 9) + -10 Reorder the terms: -32 + 12 + -16x = -2(6x + 9) + -10 Combine like terms: -32 + 12 = -20 -20 + -16x = -2(6x + 9) + -10 Reorder the terms: -20 + -16x = -2(9 + 6x) + -10 -20 + -16x = (9 * -2 + 6x * -2) + -10 -20 + -16x = (-18 + -12x) + -10 Reorder the terms: -20 + -16x = -18 + -10 + -12x Combine like terms: -18 + -10 = -28 -20 + -16x = -28 + -12x Solving -20 + -16x = -28 + -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. -20 + -16x + 12x = -28 + -12x + 12x Combine like terms: -16x + 12x = -4x -20 + -4x = -28 + -12x + 12x Combine like terms: -12x + 12x = 0 -20 + -4x = -28 + 0 -20 + -4x = -28 Add '20' to each side of the equation. -20 + 20 + -4x = -28 + 20 Combine like terms: -20 + 20 = 0 0 + -4x = -28 + 20 -4x = -28 + 20 Combine like terms: -28 + 20 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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