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Simplifying 12 + -5(-7 + 10x) = 3(9 + -10x) 12 + (-7 * -5 + 10x * -5) = 3(9 + -10x) 12 + (35 + -50x) = 3(9 + -10x) Combine like terms: 12 + 35 = 47 47 + -50x = 3(9 + -10x) 47 + -50x = (9 * 3 + -10x * 3) 47 + -50x = (27 + -30x) Solving 47 + -50x = 27 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 47 + -50x + 30x = 27 + -30x + 30x Combine like terms: -50x + 30x = -20x 47 + -20x = 27 + -30x + 30x Combine like terms: -30x + 30x = 0 47 + -20x = 27 + 0 47 + -20x = 27 Add '-47' to each side of the equation. 47 + -47 + -20x = 27 + -47 Combine like terms: 47 + -47 = 0 0 + -20x = 27 + -47 -20x = 27 + -47 Combine like terms: 27 + -47 = -20 -20x = -20 Divide each side by '-20'. x = 1 Simplifying x = 1
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