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Simplifying 12 + 5(7 + -6x) = 7 + -10x 12 + (7 * 5 + -6x * 5) = 7 + -10x 12 + (35 + -30x) = 7 + -10x Combine like terms: 12 + 35 = 47 47 + -30x = 7 + -10x Solving 47 + -30x = 7 + -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. 47 + -30x + 10x = 7 + -10x + 10x Combine like terms: -30x + 10x = -20x 47 + -20x = 7 + -10x + 10x Combine like terms: -10x + 10x = 0 47 + -20x = 7 + 0 47 + -20x = 7 Add '-47' to each side of the equation. 47 + -47 + -20x = 7 + -47 Combine like terms: 47 + -47 = 0 0 + -20x = 7 + -47 -20x = 7 + -47 Combine like terms: 7 + -47 = -40 -20x = -40 Divide each side by '-20'. x = 2 Simplifying x = 2
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