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Simplifying 2(x + 6) + -8x = 5x + -1(x + -9) Reorder the terms: 2(6 + x) + -8x = 5x + -1(x + -9) (6 * 2 + x * 2) + -8x = 5x + -1(x + -9) (12 + 2x) + -8x = 5x + -1(x + -9) Combine like terms: 2x + -8x = -6x 12 + -6x = 5x + -1(x + -9) Reorder the terms: 12 + -6x = 5x + -1(-9 + x) 12 + -6x = 5x + (-9 * -1 + x * -1) 12 + -6x = 5x + (9 + -1x) Reorder the terms: 12 + -6x = 9 + 5x + -1x Combine like terms: 5x + -1x = 4x 12 + -6x = 9 + 4x Solving 12 + -6x = 9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + -6x + -4x = 9 + 4x + -4x Combine like terms: -6x + -4x = -10x 12 + -10x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -10x = 9 + 0 12 + -10x = 9 Add '-12' to each side of the equation. 12 + -12 + -10x = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -10x = 9 + -12 -10x = 9 + -12 Combine like terms: 9 + -12 = -3 -10x = -3 Divide each side by '-10'. x = 0.3 Simplifying x = 0.3
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