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Simplifying 2(x + 2) + -5(2x + 7) = 0 Reorder the terms: 2(2 + x) + -5(2x + 7) = 0 (2 * 2 + x * 2) + -5(2x + 7) = 0 (4 + 2x) + -5(2x + 7) = 0 Reorder the terms: 4 + 2x + -5(7 + 2x) = 0 4 + 2x + (7 * -5 + 2x * -5) = 0 4 + 2x + (-35 + -10x) = 0 Reorder the terms: 4 + -35 + 2x + -10x = 0 Combine like terms: 4 + -35 = -31 -31 + 2x + -10x = 0 Combine like terms: 2x + -10x = -8x -31 + -8x = 0 Solving -31 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -8x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -8x = 0 + 31 -8x = 0 + 31 Combine like terms: 0 + 31 = 31 -8x = 31 Divide each side by '-8'. x = -3.875 Simplifying x = -3.875
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