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Simplifying 12 + 5(9 + -8x) = 15 + -19x 12 + (9 * 5 + -8x * 5) = 15 + -19x 12 + (45 + -40x) = 15 + -19x Combine like terms: 12 + 45 = 57 57 + -40x = 15 + -19x Solving 57 + -40x = 15 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. 57 + -40x + 19x = 15 + -19x + 19x Combine like terms: -40x + 19x = -21x 57 + -21x = 15 + -19x + 19x Combine like terms: -19x + 19x = 0 57 + -21x = 15 + 0 57 + -21x = 15 Add '-57' to each side of the equation. 57 + -57 + -21x = 15 + -57 Combine like terms: 57 + -57 = 0 0 + -21x = 15 + -57 -21x = 15 + -57 Combine like terms: 15 + -57 = -42 -21x = -42 Divide each side by '-21'. x = 2 Simplifying x = 2
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