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Simplifying 8x + -1(2x + -6) = 3(-1x + 4) Reorder the terms: 8x + -1(-6 + 2x) = 3(-1x + 4) 8x + (-6 * -1 + 2x * -1) = 3(-1x + 4) 8x + (6 + -2x) = 3(-1x + 4) Reorder the terms: 6 + 8x + -2x = 3(-1x + 4) Combine like terms: 8x + -2x = 6x 6 + 6x = 3(-1x + 4) Reorder the terms: 6 + 6x = 3(4 + -1x) 6 + 6x = (4 * 3 + -1x * 3) 6 + 6x = (12 + -3x) Solving 6 + 6x = 12 + -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. 6 + 6x + 3x = 12 + -3x + 3x Combine like terms: 6x + 3x = 9x 6 + 9x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 9x = 12 + 0 6 + 9x = 12 Add '-6' to each side of the equation. 6 + -6 + 9x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = 12 + -6 9x = 12 + -6 Combine like terms: 12 + -6 = 6 9x = 6 Divide each side by '9'. x = 0.6666666667 Simplifying x = 0.6666666667
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