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