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Simplifying 3(2x + -4) + -2(5 + -1x) = 18 Reorder the terms: 3(-4 + 2x) + -2(5 + -1x) = 18 (-4 * 3 + 2x * 3) + -2(5 + -1x) = 18 (-12 + 6x) + -2(5 + -1x) = 18 -12 + 6x + (5 * -2 + -1x * -2) = 18 -12 + 6x + (-10 + 2x) = 18 Reorder the terms: -12 + -10 + 6x + 2x = 18 Combine like terms: -12 + -10 = -22 -22 + 6x + 2x = 18 Combine like terms: 6x + 2x = 8x -22 + 8x = 18 Solving -22 + 8x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 8x = 18 + 22 Combine like terms: -22 + 22 = 0 0 + 8x = 18 + 22 8x = 18 + 22 Combine like terms: 18 + 22 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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