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Simplifying 3(2x + -4) + -2(3 + -1x) = 5 Reorder the terms: 3(-4 + 2x) + -2(3 + -1x) = 5 (-4 * 3 + 2x * 3) + -2(3 + -1x) = 5 (-12 + 6x) + -2(3 + -1x) = 5 -12 + 6x + (3 * -2 + -1x * -2) = 5 -12 + 6x + (-6 + 2x) = 5 Reorder the terms: -12 + -6 + 6x + 2x = 5 Combine like terms: -12 + -6 = -18 -18 + 6x + 2x = 5 Combine like terms: 6x + 2x = 8x -18 + 8x = 5 Solving -18 + 8x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 8x = 5 + 18 Combine like terms: -18 + 18 = 0 0 + 8x = 5 + 18 8x = 5 + 18 Combine like terms: 5 + 18 = 23 8x = 23 Divide each side by '8'. x = 2.875 Simplifying x = 2.875
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