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Simplifying 25 + 100(12 + -1x) = 5(2x + -7) 25 + (12 * 100 + -1x * 100) = 5(2x + -7) 25 + (1200 + -100x) = 5(2x + -7) Combine like terms: 25 + 1200 = 1225 1225 + -100x = 5(2x + -7) Reorder the terms: 1225 + -100x = 5(-7 + 2x) 1225 + -100x = (-7 * 5 + 2x * 5) 1225 + -100x = (-35 + 10x) Solving 1225 + -100x = -35 + 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. 1225 + -100x + -10x = -35 + 10x + -10x Combine like terms: -100x + -10x = -110x 1225 + -110x = -35 + 10x + -10x Combine like terms: 10x + -10x = 0 1225 + -110x = -35 + 0 1225 + -110x = -35 Add '-1225' to each side of the equation. 1225 + -1225 + -110x = -35 + -1225 Combine like terms: 1225 + -1225 = 0 0 + -110x = -35 + -1225 -110x = -35 + -1225 Combine like terms: -35 + -1225 = -1260 -110x = -1260 Divide each side by '-110'. x = 11.45454545 Simplifying x = 11.45454545
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