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Simplifying 3(2x + -4) + 2 = 5x + -8 Reorder the terms: 3(-4 + 2x) + 2 = 5x + -8 (-4 * 3 + 2x * 3) + 2 = 5x + -8 (-12 + 6x) + 2 = 5x + -8 Reorder the terms: -12 + 2 + 6x = 5x + -8 Combine like terms: -12 + 2 = -10 -10 + 6x = 5x + -8 Reorder the terms: -10 + 6x = -8 + 5x Solving -10 + 6x = -8 + 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. -10 + 6x + -5x = -8 + 5x + -5x Combine like terms: 6x + -5x = 1x -10 + 1x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + 1x = -8 + 0 -10 + 1x = -8 Add '10' to each side of the equation. -10 + 10 + 1x = -8 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -8 + 10 1x = -8 + 10 Combine like terms: -8 + 10 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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