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Simplifying 2 + -5(x + 5) = 3(x + 2) + -1 Reorder the terms: 2 + -5(5 + x) = 3(x + 2) + -1 2 + (5 * -5 + x * -5) = 3(x + 2) + -1 2 + (-25 + -5x) = 3(x + 2) + -1 Combine like terms: 2 + -25 = -23 -23 + -5x = 3(x + 2) + -1 Reorder the terms: -23 + -5x = 3(2 + x) + -1 -23 + -5x = (2 * 3 + x * 3) + -1 -23 + -5x = (6 + 3x) + -1 Reorder the terms: -23 + -5x = 6 + -1 + 3x Combine like terms: 6 + -1 = 5 -23 + -5x = 5 + 3x Solving -23 + -5x = 5 + 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. -23 + -5x + -3x = 5 + 3x + -3x Combine like terms: -5x + -3x = -8x -23 + -8x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -23 + -8x = 5 + 0 -23 + -8x = 5 Add '23' to each side of the equation. -23 + 23 + -8x = 5 + 23 Combine like terms: -23 + 23 = 0 0 + -8x = 5 + 23 -8x = 5 + 23 Combine like terms: 5 + 23 = 28 -8x = 28 Divide each side by '-8'. x = -3.5 Simplifying x = -3.5
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