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Simplifying 5 + -2(2x + 4) = 5x + -5(x + -9) Reorder the terms: 5 + -2(4 + 2x) = 5x + -5(x + -9) 5 + (4 * -2 + 2x * -2) = 5x + -5(x + -9) 5 + (-8 + -4x) = 5x + -5(x + -9) Combine like terms: 5 + -8 = -3 -3 + -4x = 5x + -5(x + -9) Reorder the terms: -3 + -4x = 5x + -5(-9 + x) -3 + -4x = 5x + (-9 * -5 + x * -5) -3 + -4x = 5x + (45 + -5x) Reorder the terms: -3 + -4x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -4x = 45 + 0 -3 + -4x = 45 Solving -3 + -4x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4x = 45 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 45 + 3 -4x = 45 + 3 Combine like terms: 45 + 3 = 48 -4x = 48 Divide each side by '-4'. x = -12 Simplifying x = -12
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