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Simplifying 2 + -2(2x + 4) = 4x + 5(x + -9) Reorder the terms: 2 + -2(4 + 2x) = 4x + 5(x + -9) 2 + (4 * -2 + 2x * -2) = 4x + 5(x + -9) 2 + (-8 + -4x) = 4x + 5(x + -9) Combine like terms: 2 + -8 = -6 -6 + -4x = 4x + 5(x + -9) Reorder the terms: -6 + -4x = 4x + 5(-9 + x) -6 + -4x = 4x + (-9 * 5 + x * 5) -6 + -4x = 4x + (-45 + 5x) Reorder the terms: -6 + -4x = -45 + 4x + 5x Combine like terms: 4x + 5x = 9x -6 + -4x = -45 + 9x Solving -6 + -4x = -45 + 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. -6 + -4x + -9x = -45 + 9x + -9x Combine like terms: -4x + -9x = -13x -6 + -13x = -45 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + -13x = -45 + 0 -6 + -13x = -45 Add '6' to each side of the equation. -6 + 6 + -13x = -45 + 6 Combine like terms: -6 + 6 = 0 0 + -13x = -45 + 6 -13x = -45 + 6 Combine like terms: -45 + 6 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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