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Simplifying 10(2 + x) = 5(3x + -3) (2 * 10 + x * 10) = 5(3x + -3) (20 + 10x) = 5(3x + -3) Reorder the terms: 20 + 10x = 5(-3 + 3x) 20 + 10x = (-3 * 5 + 3x * 5) 20 + 10x = (-15 + 15x) Solving 20 + 10x = -15 + 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. 20 + 10x + -15x = -15 + 15x + -15x Combine like terms: 10x + -15x = -5x 20 + -5x = -15 + 15x + -15x Combine like terms: 15x + -15x = 0 20 + -5x = -15 + 0 20 + -5x = -15 Add '-20' to each side of the equation. 20 + -20 + -5x = -15 + -20 Combine like terms: 20 + -20 = 0 0 + -5x = -15 + -20 -5x = -15 + -20 Combine like terms: -15 + -20 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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