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Simplifying 14x + -4(6 + -8x) = 24x + -1(2x + 8) 14x + (6 * -4 + -8x * -4) = 24x + -1(2x + 8) 14x + (-24 + 32x) = 24x + -1(2x + 8) Reorder the terms: -24 + 14x + 32x = 24x + -1(2x + 8) Combine like terms: 14x + 32x = 46x -24 + 46x = 24x + -1(2x + 8) Reorder the terms: -24 + 46x = 24x + -1(8 + 2x) -24 + 46x = 24x + (8 * -1 + 2x * -1) -24 + 46x = 24x + (-8 + -2x) Reorder the terms: -24 + 46x = -8 + 24x + -2x Combine like terms: 24x + -2x = 22x -24 + 46x = -8 + 22x Solving -24 + 46x = -8 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -24 + 46x + -22x = -8 + 22x + -22x Combine like terms: 46x + -22x = 24x -24 + 24x = -8 + 22x + -22x Combine like terms: 22x + -22x = 0 -24 + 24x = -8 + 0 -24 + 24x = -8 Add '24' to each side of the equation. -24 + 24 + 24x = -8 + 24 Combine like terms: -24 + 24 = 0 0 + 24x = -8 + 24 24x = -8 + 24 Combine like terms: -8 + 24 = 16 24x = 16 Divide each side by '24'. x = 0.6666666667 Simplifying x = 0.6666666667
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