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Simplifying 3(x + -4) + -1(2x + 1) = 24 Reorder the terms: 3(-4 + x) + -1(2x + 1) = 24 (-4 * 3 + x * 3) + -1(2x + 1) = 24 (-12 + 3x) + -1(2x + 1) = 24 Reorder the terms: -12 + 3x + -1(1 + 2x) = 24 -12 + 3x + (1 * -1 + 2x * -1) = 24 -12 + 3x + (-1 + -2x) = 24 Reorder the terms: -12 + -1 + 3x + -2x = 24 Combine like terms: -12 + -1 = -13 -13 + 3x + -2x = 24 Combine like terms: 3x + -2x = 1x -13 + 1x = 24 Solving -13 + 1x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 1x = 24 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = 24 + 13 1x = 24 + 13 Combine like terms: 24 + 13 = 37 1x = 37 Divide each side by '1'. x = 37 Simplifying x = 37
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