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Simplifying 4(3x + -2) + -2(x + 2) = 38 Reorder the terms: 4(-2 + 3x) + -2(x + 2) = 38 (-2 * 4 + 3x * 4) + -2(x + 2) = 38 (-8 + 12x) + -2(x + 2) = 38 Reorder the terms: -8 + 12x + -2(2 + x) = 38 -8 + 12x + (2 * -2 + x * -2) = 38 -8 + 12x + (-4 + -2x) = 38 Reorder the terms: -8 + -4 + 12x + -2x = 38 Combine like terms: -8 + -4 = -12 -12 + 12x + -2x = 38 Combine like terms: 12x + -2x = 10x -12 + 10x = 38 Solving -12 + 10x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. 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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