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Simplifying 2 + -5(x + 5) = 3(x + -2) + -7 Reorder the terms: 2 + -5(5 + x) = 3(x + -2) + -7 2 + (5 * -5 + x * -5) = 3(x + -2) + -7 2 + (-25 + -5x) = 3(x + -2) + -7 Combine like terms: 2 + -25 = -23 -23 + -5x = 3(x + -2) + -7 Reorder the terms: -23 + -5x = 3(-2 + x) + -7 -23 + -5x = (-2 * 3 + x * 3) + -7 -23 + -5x = (-6 + 3x) + -7 Reorder the terms: -23 + -5x = -6 + -7 + 3x Combine like terms: -6 + -7 = -13 -23 + -5x = -13 + 3x Solving -23 + -5x = -13 + 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 = -13 + 3x + -3x Combine like terms: -5x + -3x = -8x -23 + -8x = -13 + 3x + -3x Combine like terms: 3x + -3x = 0 -23 + -8x = -13 + 0 -23 + -8x = -13 Add '23' to each side of the equation. -23 + 23 + -8x = -13 + 23 Combine like terms: -23 + 23 = 0 0 + -8x = -13 + 23 -8x = -13 + 23 Combine like terms: -13 + 23 = 10 -8x = 10 Divide each side by '-8'. x = -1.25 Simplifying x = -1.25
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