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Simplifying 4(5 + -2x) + 12 = 20 + -2x (5 * 4 + -2x * 4) + 12 = 20 + -2x (20 + -8x) + 12 = 20 + -2x Reorder the terms: 20 + 12 + -8x = 20 + -2x Combine like terms: 20 + 12 = 32 32 + -8x = 20 + -2x Solving 32 + -8x = 20 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 32 + -8x + 2x = 20 + -2x + 2x Combine like terms: -8x + 2x = -6x 32 + -6x = 20 + -2x + 2x Combine like terms: -2x + 2x = 0 32 + -6x = 20 + 0 32 + -6x = 20 Add '-32' to each side of the equation. 32 + -32 + -6x = 20 + -32 Combine like terms: 32 + -32 = 0 0 + -6x = 20 + -32 -6x = 20 + -32 Combine like terms: 20 + -32 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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