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Simplifying 2(6x + -2) + -1(9x + -8) = 9 + -1(3x + 2) Reorder the terms: 2(-2 + 6x) + -1(9x + -8) = 9 + -1(3x + 2) (-2 * 2 + 6x * 2) + -1(9x + -8) = 9 + -1(3x + 2) (-4 + 12x) + -1(9x + -8) = 9 + -1(3x + 2) Reorder the terms: -4 + 12x + -1(-8 + 9x) = 9 + -1(3x + 2) -4 + 12x + (-8 * -1 + 9x * -1) = 9 + -1(3x + 2) -4 + 12x + (8 + -9x) = 9 + -1(3x + 2) Reorder the terms: -4 + 8 + 12x + -9x = 9 + -1(3x + 2) Combine like terms: -4 + 8 = 4 4 + 12x + -9x = 9 + -1(3x + 2) Combine like terms: 12x + -9x = 3x 4 + 3x = 9 + -1(3x + 2) Reorder the terms: 4 + 3x = 9 + -1(2 + 3x) 4 + 3x = 9 + (2 * -1 + 3x * -1) 4 + 3x = 9 + (-2 + -3x) Combine like terms: 9 + -2 = 7 4 + 3x = 7 + -3x Solving 4 + 3x = 7 + -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. 4 + 3x + 3x = 7 + -3x + 3x Combine like terms: 3x + 3x = 6x 4 + 6x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 6x = 7 + 0 4 + 6x = 7 Add '-4' to each side of the equation. 4 + -4 + 6x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 7 + -4 6x = 7 + -4 Combine like terms: 7 + -4 = 3 6x = 3 Divide each side by '6'. x = 0.5 Simplifying x = 0.5
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