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Simplifying x + -2 + 2(2x + 5) = -3(x + 2) Reorder the terms: x + -2 + 2(5 + 2x) = -3(x + 2) x + -2 + (5 * 2 + 2x * 2) = -3(x + 2) x + -2 + (10 + 4x) = -3(x + 2) Reorder the terms: -2 + 10 + x + 4x = -3(x + 2) Combine like terms: -2 + 10 = 8 8 + x + 4x = -3(x + 2) Combine like terms: x + 4x = 5x 8 + 5x = -3(x + 2) Reorder the terms: 8 + 5x = -3(2 + x) 8 + 5x = (2 * -3 + x * -3) 8 + 5x = (-6 + -3x) Solving 8 + 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. 8 + 5x + 3x = -6 + -3x + 3x Combine like terms: 5x + 3x = 8x 8 + 8x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 8x = -6 + 0 8 + 8x = -6 Add '-8' to each side of the equation. 8 + -8 + 8x = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = -6 + -8 8x = -6 + -8 Combine like terms: -6 + -8 = -14 8x = -14 Divide each side by '8'. x = -1.75 Simplifying x = -1.75
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