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Simplifying 4(x + 5) + -2(3x + -2) = 12 Reorder the terms: 4(5 + x) + -2(3x + -2) = 12 (5 * 4 + x * 4) + -2(3x + -2) = 12 (20 + 4x) + -2(3x + -2) = 12 Reorder the terms: 20 + 4x + -2(-2 + 3x) = 12 20 + 4x + (-2 * -2 + 3x * -2) = 12 20 + 4x + (4 + -6x) = 12 Reorder the terms: 20 + 4 + 4x + -6x = 12 Combine like terms: 20 + 4 = 24 24 + 4x + -6x = 12 Combine like terms: 4x + -6x = -2x 24 + -2x = 12 Solving 24 + -2x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -2x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = 12 + -24 -2x = 12 + -24 Combine like terms: 12 + -24 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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