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Simplifying 4(3 + -1x) = 6(x + 2) + 20 (3 * 4 + -1x * 4) = 6(x + 2) + 20 (12 + -4x) = 6(x + 2) + 20 Reorder the terms: 12 + -4x = 6(2 + x) + 20 12 + -4x = (2 * 6 + x * 6) + 20 12 + -4x = (12 + 6x) + 20 Reorder the terms: 12 + -4x = 12 + 20 + 6x Combine like terms: 12 + 20 = 32 12 + -4x = 32 + 6x Solving 12 + -4x = 32 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + -4x + -6x = 32 + 6x + -6x Combine like terms: -4x + -6x = -10x 12 + -10x = 32 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -10x = 32 + 0 12 + -10x = 32 Add '-12' to each side of the equation. 12 + -12 + -10x = 32 + -12 Combine like terms: 12 + -12 = 0 0 + -10x = 32 + -12 -10x = 32 + -12 Combine like terms: 32 + -12 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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