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Simplifying 9 + -2(2x + 4) = 4x + 5(x + -5) Reorder the terms: 9 + -2(4 + 2x) = 4x + 5(x + -5) 9 + (4 * -2 + 2x * -2) = 4x + 5(x + -5) 9 + (-8 + -4x) = 4x + 5(x + -5) Combine like terms: 9 + -8 = 1 1 + -4x = 4x + 5(x + -5) Reorder the terms: 1 + -4x = 4x + 5(-5 + x) 1 + -4x = 4x + (-5 * 5 + x * 5) 1 + -4x = 4x + (-25 + 5x) Reorder the terms: 1 + -4x = -25 + 4x + 5x Combine like terms: 4x + 5x = 9x 1 + -4x = -25 + 9x Solving 1 + -4x = -25 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 1 + -4x + -9x = -25 + 9x + -9x Combine like terms: -4x + -9x = -13x 1 + -13x = -25 + 9x + -9x Combine like terms: 9x + -9x = 0 1 + -13x = -25 + 0 1 + -13x = -25 Add '-1' to each side of the equation. 1 + -1 + -13x = -25 + -1 Combine like terms: 1 + -1 = 0 0 + -13x = -25 + -1 -13x = -25 + -1 Combine like terms: -25 + -1 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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