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Simplifying 6 + 3(2x + -4) + 5x = 38 Reorder the terms: 6 + 3(-4 + 2x) + 5x = 38 6 + (-4 * 3 + 2x * 3) + 5x = 38 6 + (-12 + 6x) + 5x = 38 Combine like terms: 6 + -12 = -6 -6 + 6x + 5x = 38 Combine like terms: 6x + 5x = 11x -6 + 11x = 38 Solving -6 + 11x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 11x = 38 + 6 Combine like terms: -6 + 6 = 0 0 + 11x = 38 + 6 11x = 38 + 6 Combine like terms: 38 + 6 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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