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Simplifying 3(x + 8) = 14 + -1(6x + -4) Reorder the terms: 3(8 + x) = 14 + -1(6x + -4) (8 * 3 + x * 3) = 14 + -1(6x + -4) (24 + 3x) = 14 + -1(6x + -4) Reorder the terms: 24 + 3x = 14 + -1(-4 + 6x) 24 + 3x = 14 + (-4 * -1 + 6x * -1) 24 + 3x = 14 + (4 + -6x) Combine like terms: 14 + 4 = 18 24 + 3x = 18 + -6x Solving 24 + 3x = 18 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 24 + 3x + 6x = 18 + -6x + 6x Combine like terms: 3x + 6x = 9x 24 + 9x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 24 + 9x = 18 + 0 24 + 9x = 18 Add '-24' to each side of the equation. 24 + -24 + 9x = 18 + -24 Combine like terms: 24 + -24 = 0 0 + 9x = 18 + -24 9x = 18 + -24 Combine like terms: 18 + -24 = -6 9x = -6 Divide each side by '9'. x = -0.6666666667 Simplifying x = -0.6666666667
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