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Simplifying 5(x + -1) + -15 = 3(x + 2) + 4 Reorder the terms: 5(-1 + x) + -15 = 3(x + 2) + 4 (-1 * 5 + x * 5) + -15 = 3(x + 2) + 4 (-5 + 5x) + -15 = 3(x + 2) + 4 Reorder the terms: -5 + -15 + 5x = 3(x + 2) + 4 Combine like terms: -5 + -15 = -20 -20 + 5x = 3(x + 2) + 4 Reorder the terms: -20 + 5x = 3(2 + x) + 4 -20 + 5x = (2 * 3 + x * 3) + 4 -20 + 5x = (6 + 3x) + 4 Reorder the terms: -20 + 5x = 6 + 4 + 3x Combine like terms: 6 + 4 = 10 -20 + 5x = 10 + 3x Solving -20 + 5x = 10 + 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. -20 + 5x + -3x = 10 + 3x + -3x Combine like terms: 5x + -3x = 2x -20 + 2x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -20 + 2x = 10 + 0 -20 + 2x = 10 Add '20' to each side of the equation. -20 + 20 + 2x = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 2x = 10 + 20 2x = 10 + 20 Combine like terms: 10 + 20 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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