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Simplifying 3x + 2 + 2(2x + 1) + 3(2x + 5) = x + -1 Reorder the terms: 3x + 2 + 2(1 + 2x) + 3(2x + 5) = x + -1 3x + 2 + (1 * 2 + 2x * 2) + 3(2x + 5) = x + -1 3x + 2 + (2 + 4x) + 3(2x + 5) = x + -1 Reorder the terms: 3x + 2 + 2 + 4x + 3(5 + 2x) = x + -1 3x + 2 + 2 + 4x + (5 * 3 + 2x * 3) = x + -1 3x + 2 + 2 + 4x + (15 + 6x) = x + -1 Reorder the terms: 2 + 2 + 15 + 3x + 4x + 6x = x + -1 Combine like terms: 2 + 2 = 4 4 + 15 + 3x + 4x + 6x = x + -1 Combine like terms: 4 + 15 = 19 19 + 3x + 4x + 6x = x + -1 Combine like terms: 3x + 4x = 7x 19 + 7x + 6x = x + -1 Combine like terms: 7x + 6x = 13x 19 + 13x = x + -1 Reorder the terms: 19 + 13x = -1 + x Solving 19 + 13x = -1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 19 + 13x + -1x = -1 + x + -1x Combine like terms: 13x + -1x = 12x 19 + 12x = -1 + x + -1x Combine like terms: x + -1x = 0 19 + 12x = -1 + 0 19 + 12x = -1 Add '-19' to each side of the equation. 19 + -19 + 12x = -1 + -19 Combine like terms: 19 + -19 = 0 0 + 12x = -1 + -19 12x = -1 + -19 Combine like terms: -1 + -19 = -20 12x = -20 Divide each side by '12'. x = -1.666666667 Simplifying x = -1.666666667
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