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Simplifying 4x + -6(2x + -4) + 2 = 8x + 14 Reorder the terms: 4x + -6(-4 + 2x) + 2 = 8x + 14 4x + (-4 * -6 + 2x * -6) + 2 = 8x + 14 4x + (24 + -12x) + 2 = 8x + 14 Reorder the terms: 24 + 2 + 4x + -12x = 8x + 14 Combine like terms: 24 + 2 = 26 26 + 4x + -12x = 8x + 14 Combine like terms: 4x + -12x = -8x 26 + -8x = 8x + 14 Reorder the terms: 26 + -8x = 14 + 8x Solving 26 + -8x = 14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 26 + -8x + -8x = 14 + 8x + -8x Combine like terms: -8x + -8x = -16x 26 + -16x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 26 + -16x = 14 + 0 26 + -16x = 14 Add '-26' to each side of the equation. 26 + -26 + -16x = 14 + -26 Combine like terms: 26 + -26 = 0 0 + -16x = 14 + -26 -16x = 14 + -26 Combine like terms: 14 + -26 = -12 -16x = -12 Divide each side by '-16'. x = 0.75 Simplifying x = 0.75
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