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Simplifying 2(2x + -3) + -2(5x + 4) = 5 Reorder the terms: 2(-3 + 2x) + -2(5x + 4) = 5 (-3 * 2 + 2x * 2) + -2(5x + 4) = 5 (-6 + 4x) + -2(5x + 4) = 5 Reorder the terms: -6 + 4x + -2(4 + 5x) = 5 -6 + 4x + (4 * -2 + 5x * -2) = 5 -6 + 4x + (-8 + -10x) = 5 Reorder the terms: -6 + -8 + 4x + -10x = 5 Combine like terms: -6 + -8 = -14 -14 + 4x + -10x = 5 Combine like terms: 4x + -10x = -6x -14 + -6x = 5 Solving -14 + -6x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -6x = 5 + 14 Combine like terms: -14 + 14 = 0 0 + -6x = 5 + 14 -6x = 5 + 14 Combine like terms: 5 + 14 = 19 -6x = 19 Divide each side by '-6'. x = -3.166666667 Simplifying x = -3.166666667
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