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Simplifying 12(3x + -10) = 5(5x + 3) Reorder the terms: 12(-10 + 3x) = 5(5x + 3) (-10 * 12 + 3x * 12) = 5(5x + 3) (-120 + 36x) = 5(5x + 3) Reorder the terms: -120 + 36x = 5(3 + 5x) -120 + 36x = (3 * 5 + 5x * 5) -120 + 36x = (15 + 25x) Solving -120 + 36x = 15 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -120 + 36x + -25x = 15 + 25x + -25x Combine like terms: 36x + -25x = 11x -120 + 11x = 15 + 25x + -25x Combine like terms: 25x + -25x = 0 -120 + 11x = 15 + 0 -120 + 11x = 15 Add '120' to each side of the equation. -120 + 120 + 11x = 15 + 120 Combine like terms: -120 + 120 = 0 0 + 11x = 15 + 120 11x = 15 + 120 Combine like terms: 15 + 120 = 135 11x = 135 Divide each side by '11'. x = 12.27272727 Simplifying x = 12.27272727
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