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Simplifying 3(x + 2) + (2x + -4 + 5x) = 3x + -1(-1x + 9) Reorder the terms: 3(2 + x) + (2x + -4 + 5x) = 3x + -1(-1x + 9) (2 * 3 + x * 3) + (2x + -4 + 5x) = 3x + -1(-1x + 9) (6 + 3x) + (2x + -4 + 5x) = 3x + -1(-1x + 9) Reorder the terms: 6 + 3x + (-4 + 2x + 5x) = 3x + -1(-1x + 9) Combine like terms: 2x + 5x = 7x 6 + 3x + (-4 + 7x) = 3x + -1(-1x + 9) Remove parenthesis around (-4 + 7x) 6 + 3x + -4 + 7x = 3x + -1(-1x + 9) Reorder the terms: 6 + -4 + 3x + 7x = 3x + -1(-1x + 9) Combine like terms: 6 + -4 = 2 2 + 3x + 7x = 3x + -1(-1x + 9) Combine like terms: 3x + 7x = 10x 2 + 10x = 3x + -1(-1x + 9) Reorder the terms: 2 + 10x = 3x + -1(9 + -1x) 2 + 10x = 3x + (9 * -1 + -1x * -1) 2 + 10x = 3x + (-9 + 1x) Reorder the terms: 2 + 10x = -9 + 3x + 1x Combine like terms: 3x + 1x = 4x 2 + 10x = -9 + 4x Solving 2 + 10x = -9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 10x + -4x = -9 + 4x + -4x Combine like terms: 10x + -4x = 6x 2 + 6x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 6x = -9 + 0 2 + 6x = -9 Add '-2' to each side of the equation. 2 + -2 + 6x = -9 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = -9 + -2 6x = -9 + -2 Combine like terms: -9 + -2 = -11 6x = -11 Divide each side by '6'. x = -1.833333333 Simplifying x = -1.833333333
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