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Simplifying 2x + -2(2 + -1x) = 10x + 24 2x + (2 * -2 + -1x * -2) = 10x + 24 2x + (-4 + 2x) = 10x + 24 Reorder the terms: -4 + 2x + 2x = 10x + 24 Combine like terms: 2x + 2x = 4x -4 + 4x = 10x + 24 Reorder the terms: -4 + 4x = 24 + 10x Solving -4 + 4x = 24 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -4 + 4x + -10x = 24 + 10x + -10x Combine like terms: 4x + -10x = -6x -4 + -6x = 24 + 10x + -10x Combine like terms: 10x + -10x = 0 -4 + -6x = 24 + 0 -4 + -6x = 24 Add '4' to each side of the equation. -4 + 4 + -6x = 24 + 4 Combine like terms: -4 + 4 = 0 0 + -6x = 24 + 4 -6x = 24 + 4 Combine like terms: 24 + 4 = 28 -6x = 28 Divide each side by '-6'. x = -4.666666667 Simplifying x = -4.666666667
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