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Simplifying 10(x + 3) = 15x Reorder the terms: 10(3 + x) = 15x (3 * 10 + x * 10) = 15x (30 + 10x) = 15x Solving 30 + 10x = 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. 30 + 10x + -15x = 15x + -15x Combine like terms: 10x + -15x = -5x 30 + -5x = 15x + -15x Combine like terms: 15x + -15x = 0 30 + -5x = 0 Add '-30' to each side of the equation. 30 + -30 + -5x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -5x = 0 + -30 -5x = 0 + -30 Combine like terms: 0 + -30 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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