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Simplifying 2 + 4(x + -9) = -5(x + 5) Reorder the terms: 2 + 4(-9 + x) = -5(x + 5) 2 + (-9 * 4 + x * 4) = -5(x + 5) 2 + (-36 + 4x) = -5(x + 5) Combine like terms: 2 + -36 = -34 -34 + 4x = -5(x + 5) Reorder the terms: -34 + 4x = -5(5 + x) -34 + 4x = (5 * -5 + x * -5) -34 + 4x = (-25 + -5x) Solving -34 + 4x = -25 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -34 + 4x + 5x = -25 + -5x + 5x Combine like terms: 4x + 5x = 9x -34 + 9x = -25 + -5x + 5x Combine like terms: -5x + 5x = 0 -34 + 9x = -25 + 0 -34 + 9x = -25 Add '34' to each side of the equation. -34 + 34 + 9x = -25 + 34 Combine like terms: -34 + 34 = 0 0 + 9x = -25 + 34 9x = -25 + 34 Combine like terms: -25 + 34 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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