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Simplifying 5(12 + -2x) = 3(7 + 5x) (12 * 5 + -2x * 5) = 3(7 + 5x) (60 + -10x) = 3(7 + 5x) 60 + -10x = (7 * 3 + 5x * 3) 60 + -10x = (21 + 15x) Solving 60 + -10x = 21 + 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. 60 + -10x + -15x = 21 + 15x + -15x Combine like terms: -10x + -15x = -25x 60 + -25x = 21 + 15x + -15x Combine like terms: 15x + -15x = 0 60 + -25x = 21 + 0 60 + -25x = 21 Add '-60' to each side of the equation. 60 + -60 + -25x = 21 + -60 Combine like terms: 60 + -60 = 0 0 + -25x = 21 + -60 -25x = 21 + -60 Combine like terms: 21 + -60 = -39 -25x = -39 Divide each side by '-25'. x = 1.56 Simplifying x = 1.56
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