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Simplifying 4 + 11x + 1 + 12x = 2(-7 + -5x) + 10(5x + -10) Reorder the terms: 4 + 1 + 11x + 12x = 2(-7 + -5x) + 10(5x + -10) Combine like terms: 4 + 1 = 5 5 + 11x + 12x = 2(-7 + -5x) + 10(5x + -10) Combine like terms: 11x + 12x = 23x 5 + 23x = 2(-7 + -5x) + 10(5x + -10) 5 + 23x = (-7 * 2 + -5x * 2) + 10(5x + -10) 5 + 23x = (-14 + -10x) + 10(5x + -10) Reorder the terms: 5 + 23x = -14 + -10x + 10(-10 + 5x) 5 + 23x = -14 + -10x + (-10 * 10 + 5x * 10) 5 + 23x = -14 + -10x + (-100 + 50x) Reorder the terms: 5 + 23x = -14 + -100 + -10x + 50x Combine like terms: -14 + -100 = -114 5 + 23x = -114 + -10x + 50x Combine like terms: -10x + 50x = 40x 5 + 23x = -114 + 40x Solving 5 + 23x = -114 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 5 + 23x + -40x = -114 + 40x + -40x Combine like terms: 23x + -40x = -17x 5 + -17x = -114 + 40x + -40x Combine like terms: 40x + -40x = 0 5 + -17x = -114 + 0 5 + -17x = -114 Add '-5' to each side of the equation. 5 + -5 + -17x = -114 + -5 Combine like terms: 5 + -5 = 0 0 + -17x = -114 + -5 -17x = -114 + -5 Combine like terms: -114 + -5 = -119 -17x = -119 Divide each side by '-17'. x = 7 Simplifying x = 7
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