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Simplifying 3(6x + -4(1 + 2x)) + 20 = 32 3(6x + (1 * -4 + 2x * -4)) + 20 = 32 3(6x + (-4 + -8x)) + 20 = 32 Reorder the terms: 3(-4 + 6x + -8x) + 20 = 32 Combine like terms: 6x + -8x = -2x 3(-4 + -2x) + 20 = 32 (-4 * 3 + -2x * 3) + 20 = 32 (-12 + -6x) + 20 = 32 Reorder the terms: -12 + 20 + -6x = 32 Combine like terms: -12 + 20 = 8 8 + -6x = 32 Solving 8 + -6x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -6x = 32 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = 32 + -8 -6x = 32 + -8 Combine like terms: 32 + -8 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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