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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 Solving 15 + 5x = -15 + 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. 15 + 5x + -4x = -15 + 4x + -4x Combine like terms: 5x + -4x = 1x 15 + 1x = -15 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + 1x = -15 + 0 15 + 1x = -15 Add '-15' to each side of the equation. 15 + -15 + 1x = -15 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = -15 + -15 1x = -15 + -15 Combine like terms: -15 + -15 = -30 1x = -30 Divide each side by '1'. x = -30 Simplifying x = -30
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