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Simplifying 14 + 6(4x + -4) = 10(2x + -1) Reorder the terms: 14 + 6(-4 + 4x) = 10(2x + -1) 14 + (-4 * 6 + 4x * 6) = 10(2x + -1) 14 + (-24 + 24x) = 10(2x + -1) Combine like terms: 14 + -24 = -10 -10 + 24x = 10(2x + -1) Reorder the terms: -10 + 24x = 10(-1 + 2x) -10 + 24x = (-1 * 10 + 2x * 10) -10 + 24x = (-10 + 20x) Add '10' to each side of the equation. -10 + 10 + 24x = -10 + 10 + 20x Combine like terms: -10 + 10 = 0 0 + 24x = -10 + 10 + 20x 24x = -10 + 10 + 20x Combine like terms: -10 + 10 = 0 24x = 0 + 20x 24x = 20x Solving 24x = 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 24x + -20x = 20x + -20x Combine like terms: 24x + -20x = 4x 4x = 20x + -20x Combine like terms: 20x + -20x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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