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Simplifying (5 + 2x) + 3x = 10(x + 3) Remove parenthesis around (5 + 2x) 5 + 2x + 3x = 10(x + 3) Combine like terms: 2x + 3x = 5x 5 + 5x = 10(x + 3) Reorder the terms: 5 + 5x = 10(3 + x) 5 + 5x = (3 * 10 + x * 10) 5 + 5x = (30 + 10x) Solving 5 + 5x = 30 + 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. 5 + 5x + -10x = 30 + 10x + -10x Combine like terms: 5x + -10x = -5x 5 + -5x = 30 + 10x + -10x Combine like terms: 10x + -10x = 0 5 + -5x = 30 + 0 5 + -5x = 30 Add '-5' to each side of the equation. 5 + -5 + -5x = 30 + -5 Combine like terms: 5 + -5 = 0 0 + -5x = 30 + -5 -5x = 30 + -5 Combine like terms: 30 + -5 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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