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Simplifying 2(x + -4) + 9x = -5(x + -2) + -6 Reorder the terms: 2(-4 + x) + 9x = -5(x + -2) + -6 (-4 * 2 + x * 2) + 9x = -5(x + -2) + -6 (-8 + 2x) + 9x = -5(x + -2) + -6 Combine like terms: 2x + 9x = 11x -8 + 11x = -5(x + -2) + -6 Reorder the terms: -8 + 11x = -5(-2 + x) + -6 -8 + 11x = (-2 * -5 + x * -5) + -6 -8 + 11x = (10 + -5x) + -6 Reorder the terms: -8 + 11x = 10 + -6 + -5x Combine like terms: 10 + -6 = 4 -8 + 11x = 4 + -5x Solving -8 + 11x = 4 + -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. -8 + 11x + 5x = 4 + -5x + 5x Combine like terms: 11x + 5x = 16x -8 + 16x = 4 + -5x + 5x Combine like terms: -5x + 5x = 0 -8 + 16x = 4 + 0 -8 + 16x = 4 Add '8' to each side of the equation. -8 + 8 + 16x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 16x = 4 + 8 16x = 4 + 8 Combine like terms: 4 + 8 = 12 16x = 12 Divide each side by '16'. x = 0.75 Simplifying x = 0.75
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