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Simplifying 6(3x + -4) = 5 + -1(x + 2) Reorder the terms: 6(-4 + 3x) = 5 + -1(x + 2) (-4 * 6 + 3x * 6) = 5 + -1(x + 2) (-24 + 18x) = 5 + -1(x + 2) Reorder the terms: -24 + 18x = 5 + -1(2 + x) -24 + 18x = 5 + (2 * -1 + x * -1) -24 + 18x = 5 + (-2 + -1x) Combine like terms: 5 + -2 = 3 -24 + 18x = 3 + -1x Solving -24 + 18x = 3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -24 + 18x + x = 3 + -1x + x Combine like terms: 18x + x = 19x -24 + 19x = 3 + -1x + x Combine like terms: -1x + x = 0 -24 + 19x = 3 + 0 -24 + 19x = 3 Add '24' to each side of the equation. -24 + 24 + 19x = 3 + 24 Combine like terms: -24 + 24 = 0 0 + 19x = 3 + 24 19x = 3 + 24 Combine like terms: 3 + 24 = 27 19x = 27 Divide each side by '19'. x = 1.421052632 Simplifying x = 1.421052632
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