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Simplifying 10x + 3(5 + -1x) = (5x + 5) 10x + (5 * 3 + -1x * 3) = (5x + 5) 10x + (15 + -3x) = (5x + 5) Reorder the terms: 15 + 10x + -3x = (5x + 5) Combine like terms: 10x + -3x = 7x 15 + 7x = (5x + 5) Reorder the terms: 15 + 7x = (5 + 5x) Remove parenthesis around (5 + 5x) 15 + 7x = 5 + 5x Solving 15 + 7x = 5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 15 + 7x + -5x = 5 + 5x + -5x Combine like terms: 7x + -5x = 2x 15 + 2x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + 2x = 5 + 0 15 + 2x = 5 Add '-15' to each side of the equation. 15 + -15 + 2x = 5 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 5 + -15 2x = 5 + -15 Combine like terms: 5 + -15 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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