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