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Simplifying 5(x + -3) + 5 = 3(x + 2) Reorder the terms: 5(-3 + x) + 5 = 3(x + 2) (-3 * 5 + x * 5) + 5 = 3(x + 2) (-15 + 5x) + 5 = 3(x + 2) Reorder the terms: -15 + 5 + 5x = 3(x + 2) Combine like terms: -15 + 5 = -10 -10 + 5x = 3(x + 2) Reorder the terms: -10 + 5x = 3(2 + x) -10 + 5x = (2 * 3 + x * 3) -10 + 5x = (6 + 3x) Solving -10 + 5x = 6 + 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. -10 + 5x + -3x = 6 + 3x + -3x Combine like terms: 5x + -3x = 2x -10 + 2x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 2x = 6 + 0 -10 + 2x = 6 Add '10' to each side of the equation. -10 + 10 + 2x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 6 + 10 2x = 6 + 10 Combine like terms: 6 + 10 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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