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Simplifying 5(2x + 12) = 25(10x + -12) Reorder the terms: 5(12 + 2x) = 25(10x + -12) (12 * 5 + 2x * 5) = 25(10x + -12) (60 + 10x) = 25(10x + -12) Reorder the terms: 60 + 10x = 25(-12 + 10x) 60 + 10x = (-12 * 25 + 10x * 25) 60 + 10x = (-300 + 250x) Solving 60 + 10x = -300 + 250x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-250x' to each side of the equation. 60 + 10x + -250x = -300 + 250x + -250x Combine like terms: 10x + -250x = -240x 60 + -240x = -300 + 250x + -250x Combine like terms: 250x + -250x = 0 60 + -240x = -300 + 0 60 + -240x = -300 Add '-60' to each side of the equation. 60 + -60 + -240x = -300 + -60 Combine like terms: 60 + -60 = 0 0 + -240x = -300 + -60 -240x = -300 + -60 Combine like terms: -300 + -60 = -360 -240x = -360 Divide each side by '-240'. x = 1.5 Simplifying x = 1.5
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