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Simplifying 2(10 + 8x) + -12(x + -9) = 4x + 8x (10 * 2 + 8x * 2) + -12(x + -9) = 4x + 8x (20 + 16x) + -12(x + -9) = 4x + 8x Reorder the terms: 20 + 16x + -12(-9 + x) = 4x + 8x 20 + 16x + (-9 * -12 + x * -12) = 4x + 8x 20 + 16x + (108 + -12x) = 4x + 8x Reorder the terms: 20 + 108 + 16x + -12x = 4x + 8x Combine like terms: 20 + 108 = 128 128 + 16x + -12x = 4x + 8x Combine like terms: 16x + -12x = 4x 128 + 4x = 4x + 8x Combine like terms: 4x + 8x = 12x 128 + 4x = 12x Solving 128 + 4x = 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. 128 + 4x + -12x = 12x + -12x Combine like terms: 4x + -12x = -8x 128 + -8x = 12x + -12x Combine like terms: 12x + -12x = 0 128 + -8x = 0 Add '-128' to each side of the equation. 128 + -128 + -8x = 0 + -128 Combine like terms: 128 + -128 = 0 0 + -8x = 0 + -128 -8x = 0 + -128 Combine like terms: 0 + -128 = -128 -8x = -128 Divide each side by '-8'. x = 16 Simplifying x = 16
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