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