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Simplifying 5(x + 1) = 4(x + 5) + -15 Reorder the terms: 5(1 + x) = 4(x + 5) + -15 (1 * 5 + x * 5) = 4(x + 5) + -15 (5 + 5x) = 4(x + 5) + -15 Reorder the terms: 5 + 5x = 4(5 + x) + -15 5 + 5x = (5 * 4 + x * 4) + -15 5 + 5x = (20 + 4x) + -15 Reorder the terms: 5 + 5x = 20 + -15 + 4x Combine like terms: 20 + -15 = 5 5 + 5x = 5 + 4x Add '-5' to each side of the equation. 5 + -5 + 5x = 5 + -5 + 4x Combine like terms: 5 + -5 = 0 0 + 5x = 5 + -5 + 4x 5x = 5 + -5 + 4x Combine like terms: 5 + -5 = 0 5x = 0 + 4x 5x = 4x Solving 5x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5x + -4x = 4x + -4x Combine like terms: 5x + -4x = 1x 1x = 4x + -4x Combine like terms: 4x + -4x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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