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Simplifying 2x + -1 + -1(-6x + -9) = 5x + -4 Reorder the terms: 2x + -1 + -1(-9 + -6x) = 5x + -4 2x + -1 + (-9 * -1 + -6x * -1) = 5x + -4 2x + -1 + (9 + 6x) = 5x + -4 Reorder the terms: -1 + 9 + 2x + 6x = 5x + -4 Combine like terms: -1 + 9 = 8 8 + 2x + 6x = 5x + -4 Combine like terms: 2x + 6x = 8x 8 + 8x = 5x + -4 Reorder the terms: 8 + 8x = -4 + 5x Solving 8 + 8x = -4 + 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. 8 + 8x + -5x = -4 + 5x + -5x Combine like terms: 8x + -5x = 3x 8 + 3x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 3x = -4 + 0 8 + 3x = -4 Add '-8' to each side of the equation. 8 + -8 + 3x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = -4 + -8 3x = -4 + -8 Combine like terms: -4 + -8 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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