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Simplifying 3(2x + -2) = 5(x + 4) Reorder the terms: 3(-2 + 2x) = 5(x + 4) (-2 * 3 + 2x * 3) = 5(x + 4) (-6 + 6x) = 5(x + 4) Reorder the terms: -6 + 6x = 5(4 + x) -6 + 6x = (4 * 5 + x * 5) -6 + 6x = (20 + 5x) Solving -6 + 6x = 20 + 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. -6 + 6x + -5x = 20 + 5x + -5x Combine like terms: 6x + -5x = 1x -6 + 1x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 1x = 20 + 0 -6 + 1x = 20 Add '6' to each side of the equation. -6 + 6 + 1x = 20 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 20 + 6 1x = 20 + 6 Combine like terms: 20 + 6 = 26 1x = 26 Divide each side by '1'. x = 26 Simplifying x = 26
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