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Simplifying 25 + 10(12 + -1x) = 5 + (2x + -7) 25 + (12 * 10 + -1x * 10) = 5 + (2x + -7) 25 + (120 + -10x) = 5 + (2x + -7) Combine like terms: 25 + 120 = 145 145 + -10x = 5 + (2x + -7) Reorder the terms: 145 + -10x = 5 + (-7 + 2x) Remove parenthesis around (-7 + 2x) 145 + -10x = 5 + -7 + 2x Combine like terms: 5 + -7 = -2 145 + -10x = -2 + 2x Solving 145 + -10x = -2 + 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. 145 + -10x + -2x = -2 + 2x + -2x Combine like terms: -10x + -2x = -12x 145 + -12x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 145 + -12x = -2 + 0 145 + -12x = -2 Add '-145' to each side of the equation. 145 + -145 + -12x = -2 + -145 Combine like terms: 145 + -145 = 0 0 + -12x = -2 + -145 -12x = -2 + -145 Combine like terms: -2 + -145 = -147 -12x = -147 Divide each side by '-12'. x = 12.25 Simplifying x = 12.25
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