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Simplifying 4(x + 12) + -2x = 10(10 + -5x) Reorder the terms: 4(12 + x) + -2x = 10(10 + -5x) (12 * 4 + x * 4) + -2x = 10(10 + -5x) (48 + 4x) + -2x = 10(10 + -5x) Combine like terms: 4x + -2x = 2x 48 + 2x = 10(10 + -5x) 48 + 2x = (10 * 10 + -5x * 10) 48 + 2x = (100 + -50x) Solving 48 + 2x = 100 + -50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50x' to each side of the equation. 48 + 2x + 50x = 100 + -50x + 50x Combine like terms: 2x + 50x = 52x 48 + 52x = 100 + -50x + 50x Combine like terms: -50x + 50x = 0 48 + 52x = 100 + 0 48 + 52x = 100 Add '-48' to each side of the equation. 48 + -48 + 52x = 100 + -48 Combine like terms: 48 + -48 = 0 0 + 52x = 100 + -48 52x = 100 + -48 Combine like terms: 100 + -48 = 52 52x = 52 Divide each side by '52'. x = 1 Simplifying x = 1
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