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Simplifying 5(x + 1) + 10 = 5x + 10x + 1 + 9 Reorder the terms: 5(1 + x) + 10 = 5x + 10x + 1 + 9 (1 * 5 + x * 5) + 10 = 5x + 10x + 1 + 9 (5 + 5x) + 10 = 5x + 10x + 1 + 9 Reorder the terms: 5 + 10 + 5x = 5x + 10x + 1 + 9 Combine like terms: 5 + 10 = 15 15 + 5x = 5x + 10x + 1 + 9 Reorder the terms: 15 + 5x = 1 + 9 + 5x + 10x Combine like terms: 1 + 9 = 10 15 + 5x = 10 + 5x + 10x Combine like terms: 5x + 10x = 15x 15 + 5x = 10 + 15x Solving 15 + 5x = 10 + 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. 15 + 5x + -15x = 10 + 15x + -15x Combine like terms: 5x + -15x = -10x 15 + -10x = 10 + 15x + -15x Combine like terms: 15x + -15x = 0 15 + -10x = 10 + 0 15 + -10x = 10 Add '-15' to each side of the equation. 15 + -15 + -10x = 10 + -15 Combine like terms: 15 + -15 = 0 0 + -10x = 10 + -15 -10x = 10 + -15 Combine like terms: 10 + -15 = -5 -10x = -5 Divide each side by '-10'. x = 0.5 Simplifying x = 0.5
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