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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 = 27 27 + -5x = 3(x + -2) + -1 Reorder the terms: 27 + -5x = 3(-2 + x) + -1 27 + -5x = (-2 * 3 + x * 3) + -1 27 + -5x = (-6 + 3x) + -1 Reorder the terms: 27 + -5x = -6 + -1 + 3x Combine like terms: -6 + -1 = -7 27 + -5x = -7 + 3x Solving 27 + -5x = -7 + 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. 27 + -5x + -3x = -7 + 3x + -3x Combine like terms: -5x + -3x = -8x 27 + -8x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 27 + -8x = -7 + 0 27 + -8x = -7 Add '-27' to each side of the equation. 27 + -27 + -8x = -7 + -27 Combine like terms: 27 + -27 = 0 0 + -8x = -7 + -27 -8x = -7 + -27 Combine like terms: -7 + -27 = -34 -8x = -34 Divide each side by '-8'. x = 4.25 Simplifying x = 4.25
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