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Simplifying 5(x + -3) + 2(x + 5) = 3x + -1 Reorder the terms: 5(-3 + x) + 2(x + 5) = 3x + -1 (-3 * 5 + x * 5) + 2(x + 5) = 3x + -1 (-15 + 5x) + 2(x + 5) = 3x + -1 Reorder the terms: -15 + 5x + 2(5 + x) = 3x + -1 -15 + 5x + (5 * 2 + x * 2) = 3x + -1 -15 + 5x + (10 + 2x) = 3x + -1 Reorder the terms: -15 + 10 + 5x + 2x = 3x + -1 Combine like terms: -15 + 10 = -5 -5 + 5x + 2x = 3x + -1 Combine like terms: 5x + 2x = 7x -5 + 7x = 3x + -1 Reorder the terms: -5 + 7x = -1 + 3x Solving -5 + 7x = -1 + 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. -5 + 7x + -3x = -1 + 3x + -3x Combine like terms: 7x + -3x = 4x -5 + 4x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 4x = -1 + 0 -5 + 4x = -1 Add '5' to each side of the equation. -5 + 5 + 4x = -1 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = -1 + 5 4x = -1 + 5 Combine like terms: -1 + 5 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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