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Simplifying -2 = -5(x + -4) + 9(x + -6) Reorder the terms: -2 = -5(-4 + x) + 9(x + -6) -2 = (-4 * -5 + x * -5) + 9(x + -6) -2 = (20 + -5x) + 9(x + -6) Reorder the terms: -2 = 20 + -5x + 9(-6 + x) -2 = 20 + -5x + (-6 * 9 + x * 9) -2 = 20 + -5x + (-54 + 9x) Reorder the terms: -2 = 20 + -54 + -5x + 9x Combine like terms: 20 + -54 = -34 -2 = -34 + -5x + 9x Combine like terms: -5x + 9x = 4x -2 = -34 + 4x Solving -2 = -34 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + -4x = -34 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -4x = -34 + 0 -2 + -4x = -34 Add '2' to each side of the equation. -2 + 2 + -4x = -34 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = -34 + 2 -4x = -34 + 2 Combine like terms: -34 + 2 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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