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Simplifying 3(2x + -2) = 4(x + 4) Reorder the terms: 3(-2 + 2x) = 4(x + 4) (-2 * 3 + 2x * 3) = 4(x + 4) (-6 + 6x) = 4(x + 4) Reorder the terms: -6 + 6x = 4(4 + x) -6 + 6x = (4 * 4 + x * 4) -6 + 6x = (16 + 4x) Solving -6 + 6x = 16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 6x + -4x = 16 + 4x + -4x Combine like terms: 6x + -4x = 2x -6 + 2x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 2x = 16 + 0 -6 + 2x = 16 Add '6' to each side of the equation. -6 + 6 + 2x = 16 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 16 + 6 2x = 16 + 6 Combine like terms: 16 + 6 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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