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Simplifying 5(x + -3) = 3(x + 1) Reorder the terms: 5(-3 + x) = 3(x + 1) (-3 * 5 + x * 5) = 3(x + 1) (-15 + 5x) = 3(x + 1) Reorder the terms: -15 + 5x = 3(1 + x) -15 + 5x = (1 * 3 + x * 3) -15 + 5x = (3 + 3x) Solving -15 + 5x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -15 + 5x + -3x = 3 + 3x + -3x Combine like terms: 5x + -3x = 2x -15 + 2x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 2x = 3 + 0 -15 + 2x = 3 Add '15' to each side of the equation. -15 + 15 + 2x = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = 3 + 15 2x = 3 + 15 Combine like terms: 3 + 15 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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