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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 = -38 -38 + 10x + -4x = -24 Combine like terms: 10x + -4x = 6x -38 + 6x = -24 Solving -38 + 6x = -24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 6x = -24 + 38 Combine like terms: -38 + 38 = 0 0 + 6x = -24 + 38 6x = -24 + 38 Combine like terms: -24 + 38 = 14 6x = 14 Divide each side by '6'. x = 2.333333333 Simplifying x = 2.333333333
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