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Simplifying 9(x + -4) + -2x = 5(x + -2) Reorder the terms: 9(-4 + x) + -2x = 5(x + -2) (-4 * 9 + x * 9) + -2x = 5(x + -2) (-36 + 9x) + -2x = 5(x + -2) Combine like terms: 9x + -2x = 7x -36 + 7x = 5(x + -2) Reorder the terms: -36 + 7x = 5(-2 + x) -36 + 7x = (-2 * 5 + x * 5) -36 + 7x = (-10 + 5x) Solving -36 + 7x = -10 + 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. -36 + 7x + -5x = -10 + 5x + -5x Combine like terms: 7x + -5x = 2x -36 + 2x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -36 + 2x = -10 + 0 -36 + 2x = -10 Add '36' to each side of the equation. -36 + 36 + 2x = -10 + 36 Combine like terms: -36 + 36 = 0 0 + 2x = -10 + 36 2x = -10 + 36 Combine like terms: -10 + 36 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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