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Simplifying 2(3x + -4) = 8x + 14 Reorder the terms: 2(-4 + 3x) = 8x + 14 (-4 * 2 + 3x * 2) = 8x + 14 (-8 + 6x) = 8x + 14 Reorder the terms: -8 + 6x = 14 + 8x Solving -8 + 6x = 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. -8 + 6x + -8x = 14 + 8x + -8x Combine like terms: 6x + -8x = -2x -8 + -2x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -2x = 14 + 0 -8 + -2x = 14 Add '8' to each side of the equation. -8 + 8 + -2x = 14 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 14 + 8 -2x = 14 + 8 Combine like terms: 14 + 8 = 22 -2x = 22 Divide each side by '-2'. x = -11 Simplifying x = -11
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