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Simplifying 5(x + 3) + -1(5) = 3(5x + 10) Reorder the terms: 5(3 + x) + -1(5) = 3(5x + 10) (3 * 5 + x * 5) + -1(5) = 3(5x + 10) (15 + 5x) + -1(5) = 3(5x + 10) Multiply -1 * 5 15 + 5x + -5 = 3(5x + 10) Reorder the terms: 15 + -5 + 5x = 3(5x + 10) Combine like terms: 15 + -5 = 10 10 + 5x = 3(5x + 10) Reorder the terms: 10 + 5x = 3(10 + 5x) 10 + 5x = (10 * 3 + 5x * 3) 10 + 5x = (30 + 15x) Solving 10 + 5x = 30 + 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. 10 + 5x + -15x = 30 + 15x + -15x Combine like terms: 5x + -15x = -10x 10 + -10x = 30 + 15x + -15x Combine like terms: 15x + -15x = 0 10 + -10x = 30 + 0 10 + -10x = 30 Add '-10' to each side of the equation. 10 + -10 + -10x = 30 + -10 Combine like terms: 10 + -10 = 0 0 + -10x = 30 + -10 -10x = 30 + -10 Combine like terms: 30 + -10 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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