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Simplifying 5(x + -5) + 1 = 3(x + 2) Reorder the terms: 5(-5 + x) + 1 = 3(x + 2) (-5 * 5 + x * 5) + 1 = 3(x + 2) (-25 + 5x) + 1 = 3(x + 2) Reorder the terms: -25 + 1 + 5x = 3(x + 2) Combine like terms: -25 + 1 = -24 -24 + 5x = 3(x + 2) Reorder the terms: -24 + 5x = 3(2 + x) -24 + 5x = (2 * 3 + x * 3) -24 + 5x = (6 + 3x) Solving -24 + 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. -24 + 5x + -3x = 6 + 3x + -3x Combine like terms: 5x + -3x = 2x -24 + 2x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + 2x = 6 + 0 -24 + 2x = 6 Add '24' to each side of the equation. -24 + 24 + 2x = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = 6 + 24 2x = 6 + 24 Combine like terms: 6 + 24 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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