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