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Simplifying 3(4x + -4) + 14 = 5x + -2 Reorder the terms: 3(-4 + 4x) + 14 = 5x + -2 (-4 * 3 + 4x * 3) + 14 = 5x + -2 (-12 + 12x) + 14 = 5x + -2 Reorder the terms: -12 + 14 + 12x = 5x + -2 Combine like terms: -12 + 14 = 2 2 + 12x = 5x + -2 Reorder the terms: 2 + 12x = -2 + 5x Solving 2 + 12x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + 12x + -5x = -2 + 5x + -5x Combine like terms: 12x + -5x = 7x 2 + 7x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 7x = -2 + 0 2 + 7x = -2 Add '-2' to each side of the equation. 2 + -2 + 7x = -2 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = -2 + -2 7x = -2 + -2 Combine like terms: -2 + -2 = -4 7x = -4 Divide each side by '7'. x = -0.5714285714 Simplifying x = -0.5714285714
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