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Simplifying 6(x + -2) + 2(x + -4) = 12(x + 20) Reorder the terms: 6(-2 + x) + 2(x + -4) = 12(x + 20) (-2 * 6 + x * 6) + 2(x + -4) = 12(x + 20) (-12 + 6x) + 2(x + -4) = 12(x + 20) Reorder the terms: -12 + 6x + 2(-4 + x) = 12(x + 20) -12 + 6x + (-4 * 2 + x * 2) = 12(x + 20) -12 + 6x + (-8 + 2x) = 12(x + 20) Reorder the terms: -12 + -8 + 6x + 2x = 12(x + 20) Combine like terms: -12 + -8 = -20 -20 + 6x + 2x = 12(x + 20) Combine like terms: 6x + 2x = 8x -20 + 8x = 12(x + 20) Reorder the terms: -20 + 8x = 12(20 + x) -20 + 8x = (20 * 12 + x * 12) -20 + 8x = (240 + 12x) Solving -20 + 8x = 240 + 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 + 8x + -12x = 240 + 12x + -12x Combine like terms: 8x + -12x = -4x -20 + -4x = 240 + 12x + -12x Combine like terms: 12x + -12x = 0 -20 + -4x = 240 + 0 -20 + -4x = 240 Add '20' to each side of the equation. -20 + 20 + -4x = 240 + 20 Combine like terms: -20 + 20 = 0 0 + -4x = 240 + 20 -4x = 240 + 20 Combine like terms: 240 + 20 = 260 -4x = 260 Divide each side by '-4'. x = -65 Simplifying x = -65
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