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Simplifying 3(2x + 11) + -1x = 7 + -2(12 + -5x) Reorder the terms: 3(11 + 2x) + -1x = 7 + -2(12 + -5x) (11 * 3 + 2x * 3) + -1x = 7 + -2(12 + -5x) (33 + 6x) + -1x = 7 + -2(12 + -5x) Combine like terms: 6x + -1x = 5x 33 + 5x = 7 + -2(12 + -5x) 33 + 5x = 7 + (12 * -2 + -5x * -2) 33 + 5x = 7 + (-24 + 10x) Combine like terms: 7 + -24 = -17 33 + 5x = -17 + 10x Solving 33 + 5x = -17 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 33 + 5x + -10x = -17 + 10x + -10x Combine like terms: 5x + -10x = -5x 33 + -5x = -17 + 10x + -10x Combine like terms: 10x + -10x = 0 33 + -5x = -17 + 0 33 + -5x = -17 Add '-33' to each side of the equation. 33 + -33 + -5x = -17 + -33 Combine like terms: 33 + -33 = 0 0 + -5x = -17 + -33 -5x = -17 + -33 Combine like terms: -17 + -33 = -50 -5x = -50 Divide each side by '-5'. x = 10 Simplifying x = 10
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