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Simplifying 3(x + 5) = 5(x + 3) + -1x Reorder the terms: 3(5 + x) = 5(x + 3) + -1x (5 * 3 + x * 3) = 5(x + 3) + -1x (15 + 3x) = 5(x + 3) + -1x Reorder the terms: 15 + 3x = 5(3 + x) + -1x 15 + 3x = (3 * 5 + x * 5) + -1x 15 + 3x = (15 + 5x) + -1x Combine like terms: 5x + -1x = 4x 15 + 3x = 15 + 4x Add '-15' to each side of the equation. 15 + -15 + 3x = 15 + -15 + 4x Combine like terms: 15 + -15 = 0 0 + 3x = 15 + -15 + 4x 3x = 15 + -15 + 4x Combine like terms: 15 + -15 = 0 3x = 0 + 4x 3x = 4x Solving 3x = 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. 3x + -4x = 4x + -4x Combine like terms: 3x + -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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