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Simplifying 2x + -3 + -1(9x + -6) + (8x + 2) + -1(-5x + -4) = 0 Reorder the terms: 2x + -3 + -1(-6 + 9x) + (8x + 2) + -1(-5x + -4) = 0 2x + -3 + (-6 * -1 + 9x * -1) + (8x + 2) + -1(-5x + -4) = 0 2x + -3 + (6 + -9x) + (8x + 2) + -1(-5x + -4) = 0 Reorder the terms: 2x + -3 + 6 + -9x + (2 + 8x) + -1(-5x + -4) = 0 Remove parenthesis around (2 + 8x) 2x + -3 + 6 + -9x + 2 + 8x + -1(-5x + -4) = 0 Reorder the terms: 2x + -3 + 6 + -9x + 2 + 8x + -1(-4 + -5x) = 0 2x + -3 + 6 + -9x + 2 + 8x + (-4 * -1 + -5x * -1) = 0 2x + -3 + 6 + -9x + 2 + 8x + (4 + 5x) = 0 Reorder the terms: -3 + 6 + 2 + 4 + 2x + -9x + 8x + 5x = 0 Combine like terms: -3 + 6 = 3 3 + 2 + 4 + 2x + -9x + 8x + 5x = 0 Combine like terms: 3 + 2 = 5 5 + 4 + 2x + -9x + 8x + 5x = 0 Combine like terms: 5 + 4 = 9 9 + 2x + -9x + 8x + 5x = 0 Combine like terms: 2x + -9x = -7x 9 + -7x + 8x + 5x = 0 Combine like terms: -7x + 8x = 1x 9 + 1x + 5x = 0 Combine like terms: 1x + 5x = 6x 9 + 6x = 0 Solving 9 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 6x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 6x = 0 + -9 6x = 0 + -9 Combine like terms: 0 + -9 = -9 6x = -9 Divide each side by '6'. x = -1.5 Simplifying x = -1.5
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