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Simplifying 8 + -9x = 5(4 + -1x) + -1(6 + -2x) 8 + -9x = (4 * 5 + -1x * 5) + -1(6 + -2x) 8 + -9x = (20 + -5x) + -1(6 + -2x) 8 + -9x = 20 + -5x + (6 * -1 + -2x * -1) 8 + -9x = 20 + -5x + (-6 + 2x) Reorder the terms: 8 + -9x = 20 + -6 + -5x + 2x Combine like terms: 20 + -6 = 14 8 + -9x = 14 + -5x + 2x Combine like terms: -5x + 2x = -3x 8 + -9x = 14 + -3x Solving 8 + -9x = 14 + -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. 8 + -9x + 3x = 14 + -3x + 3x Combine like terms: -9x + 3x = -6x 8 + -6x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + -6x = 14 + 0 8 + -6x = 14 Add '-8' to each side of the equation. 8 + -8 + -6x = 14 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = 14 + -8 -6x = 14 + -8 Combine like terms: 14 + -8 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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