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Simplifying 3(4x + -4) = 2x + 38 Reorder the terms: 3(-4 + 4x) = 2x + 38 (-4 * 3 + 4x * 3) = 2x + 38 (-12 + 12x) = 2x + 38 Reorder the terms: -12 + 12x = 38 + 2x Solving -12 + 12x = 38 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 12x + -2x = 38 + 2x + -2x Combine like terms: 12x + -2x = 10x -12 + 10x = 38 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 10x = 38 + 0 -12 + 10x = 38 Add '12' to each side of the equation. -12 + 12 + 10x = 38 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = 38 + 12 10x = 38 + 12 Combine like terms: 38 + 12 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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