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Simplifying 3(2x + -4) + -2 = 3(x + -4) + 4 Reorder the terms: 3(-4 + 2x) + -2 = 3(x + -4) + 4 (-4 * 3 + 2x * 3) + -2 = 3(x + -4) + 4 (-12 + 6x) + -2 = 3(x + -4) + 4 Reorder the terms: -12 + -2 + 6x = 3(x + -4) + 4 Combine like terms: -12 + -2 = -14 -14 + 6x = 3(x + -4) + 4 Reorder the terms: -14 + 6x = 3(-4 + x) + 4 -14 + 6x = (-4 * 3 + x * 3) + 4 -14 + 6x = (-12 + 3x) + 4 Reorder the terms: -14 + 6x = -12 + 4 + 3x Combine like terms: -12 + 4 = -8 -14 + 6x = -8 + 3x Solving -14 + 6x = -8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -14 + 6x + -3x = -8 + 3x + -3x Combine like terms: 6x + -3x = 3x -14 + 3x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + 3x = -8 + 0 -14 + 3x = -8 Add '14' to each side of the equation. -14 + 14 + 3x = -8 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = -8 + 14 3x = -8 + 14 Combine like terms: -8 + 14 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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