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Simplifying 3(2x + -1) + -5(x + -3) + 6(3x + -4) = 24 Reorder the terms: 3(-1 + 2x) + -5(x + -3) + 6(3x + -4) = 24 (-1 * 3 + 2x * 3) + -5(x + -3) + 6(3x + -4) = 24 (-3 + 6x) + -5(x + -3) + 6(3x + -4) = 24 Reorder the terms: -3 + 6x + -5(-3 + x) + 6(3x + -4) = 24 -3 + 6x + (-3 * -5 + x * -5) + 6(3x + -4) = 24 -3 + 6x + (15 + -5x) + 6(3x + -4) = 24 Reorder the terms: -3 + 6x + 15 + -5x + 6(-4 + 3x) = 24 -3 + 6x + 15 + -5x + (-4 * 6 + 3x * 6) = 24 -3 + 6x + 15 + -5x + (-24 + 18x) = 24 Reorder the terms: -3 + 15 + -24 + 6x + -5x + 18x = 24 Combine like terms: -3 + 15 = 12 12 + -24 + 6x + -5x + 18x = 24 Combine like terms: 12 + -24 = -12 -12 + 6x + -5x + 18x = 24 Combine like terms: 6x + -5x = 1x -12 + 1x + 18x = 24 Combine like terms: 1x + 18x = 19x -12 + 19x = 24 Solving -12 + 19x = 24 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 + 19x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 19x = 24 + 12 19x = 24 + 12 Combine like terms: 24 + 12 = 36 19x = 36 Divide each side by '19'. x = 1.894736842 Simplifying x = 1.894736842
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