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Simplifying 3x + -5x + -1(x + 3) = 8x + -1(5x + -9) Reorder the terms: 3x + -5x + -1(3 + x) = 8x + -1(5x + -9) 3x + -5x + (3 * -1 + x * -1) = 8x + -1(5x + -9) 3x + -5x + (-3 + -1x) = 8x + -1(5x + -9) Reorder the terms: -3 + 3x + -5x + -1x = 8x + -1(5x + -9) Combine like terms: 3x + -5x = -2x -3 + -2x + -1x = 8x + -1(5x + -9) Combine like terms: -2x + -1x = -3x -3 + -3x = 8x + -1(5x + -9) Reorder the terms: -3 + -3x = 8x + -1(-9 + 5x) -3 + -3x = 8x + (-9 * -1 + 5x * -1) -3 + -3x = 8x + (9 + -5x) Reorder the terms: -3 + -3x = 9 + 8x + -5x Combine like terms: 8x + -5x = 3x -3 + -3x = 9 + 3x Solving -3 + -3x = 9 + 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. -3 + -3x + -3x = 9 + 3x + -3x Combine like terms: -3x + -3x = -6x -3 + -6x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -6x = 9 + 0 -3 + -6x = 9 Add '3' to each side of the equation. -3 + 3 + -6x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -6x = 9 + 3 -6x = 9 + 3 Combine like terms: 9 + 3 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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