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Simplifying 12 + 5(9 + -8x) = 7 + -15x 12 + (9 * 5 + -8x * 5) = 7 + -15x 12 + (45 + -40x) = 7 + -15x Combine like terms: 12 + 45 = 57 57 + -40x = 7 + -15x Solving 57 + -40x = 7 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 57 + -40x + 15x = 7 + -15x + 15x Combine like terms: -40x + 15x = -25x 57 + -25x = 7 + -15x + 15x Combine like terms: -15x + 15x = 0 57 + -25x = 7 + 0 57 + -25x = 7 Add '-57' to each side of the equation. 57 + -57 + -25x = 7 + -57 Combine like terms: 57 + -57 = 0 0 + -25x = 7 + -57 -25x = 7 + -57 Combine like terms: 7 + -57 = -50 -25x = -50 Divide each side by '-25'. x = 2 Simplifying x = 2
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