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Simplifying 5(2x + -6) + -4(x + -2) = -24 Reorder the terms: 5(-6 + 2x) + -4(x + -2) = -24 (-6 * 5 + 2x * 5) + -4(x + -2) = -24 (-30 + 10x) + -4(x + -2) = -24 Reorder the terms: -30 + 10x + -4(-2 + x) = -24 -30 + 10x + (-2 * -4 + x * -4) = -24 -30 + 10x + (8 + -4x) = -24 Reorder the terms: -30 + 8 + 10x + -4x = -24 Combine like terms: -30 + 8 = -22 -22 + 10x + -4x = -24 Combine like terms: 10x + -4x = 6x -22 + 6x = -24 Solving -22 + 6x = -24 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 + 6x = -24 + 22 Combine like terms: -22 + 22 = 0 0 + 6x = -24 + 22 6x = -24 + 22 Combine like terms: -24 + 22 = -2 6x = -2 Divide each side by '6'. x = -0.3333333333 Simplifying x = -0.3333333333
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