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Simplifying 5(x + 12) = 10(2x + -3) Reorder the terms: 5(12 + x) = 10(2x + -3) (12 * 5 + x * 5) = 10(2x + -3) (60 + 5x) = 10(2x + -3) Reorder the terms: 60 + 5x = 10(-3 + 2x) 60 + 5x = (-3 * 10 + 2x * 10) 60 + 5x = (-30 + 20x) Solving 60 + 5x = -30 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 60 + 5x + -20x = -30 + 20x + -20x Combine like terms: 5x + -20x = -15x 60 + -15x = -30 + 20x + -20x Combine like terms: 20x + -20x = 0 60 + -15x = -30 + 0 60 + -15x = -30 Add '-60' to each side of the equation. 60 + -60 + -15x = -30 + -60 Combine like terms: 60 + -60 = 0 0 + -15x = -30 + -60 -15x = -30 + -60 Combine like terms: -30 + -60 = -90 -15x = -90 Divide each side by '-15'. x = 6 Simplifying x = 6
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