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Simplifying 2x + -1 + 2(2x + 5) = -3(x + 2) Reorder the terms: 2x + -1 + 2(5 + 2x) = -3(x + 2) 2x + -1 + (5 * 2 + 2x * 2) = -3(x + 2) 2x + -1 + (10 + 4x) = -3(x + 2) Reorder the terms: -1 + 10 + 2x + 4x = -3(x + 2) Combine like terms: -1 + 10 = 9 9 + 2x + 4x = -3(x + 2) Combine like terms: 2x + 4x = 6x 9 + 6x = -3(x + 2) Reorder the terms: 9 + 6x = -3(2 + x) 9 + 6x = (2 * -3 + x * -3) 9 + 6x = (-6 + -3x) Solving 9 + 6x = -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. 9 + 6x + 3x = -6 + -3x + 3x Combine like terms: 6x + 3x = 9x 9 + 9x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 9 + 9x = -6 + 0 9 + 9x = -6 Add '-9' to each side of the equation. 9 + -9 + 9x = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 9x = -6 + -9 9x = -6 + -9 Combine like terms: -6 + -9 = -15 9x = -15 Divide each side by '9'. x = -1.666666667 Simplifying x = -1.666666667
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