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Simplifying -5(x + 2) = 2(2x + 7) Reorder the terms: -5(2 + x) = 2(2x + 7) (2 * -5 + x * -5) = 2(2x + 7) (-10 + -5x) = 2(2x + 7) Reorder the terms: -10 + -5x = 2(7 + 2x) -10 + -5x = (7 * 2 + 2x * 2) -10 + -5x = (14 + 4x) Solving -10 + -5x = 14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -10 + -5x + -4x = 14 + 4x + -4x Combine like terms: -5x + -4x = -9x -10 + -9x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + -9x = 14 + 0 -10 + -9x = 14 Add '10' to each side of the equation. -10 + 10 + -9x = 14 + 10 Combine like terms: -10 + 10 = 0 0 + -9x = 14 + 10 -9x = 14 + 10 Combine like terms: 14 + 10 = 24 -9x = 24 Divide each side by '-9'. x = -2.666666667 Simplifying x = -2.666666667
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