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Simplifying 2 = 5(5x + -2) + -9(3x + -2) Reorder the terms: 2 = 5(-2 + 5x) + -9(3x + -2) 2 = (-2 * 5 + 5x * 5) + -9(3x + -2) 2 = (-10 + 25x) + -9(3x + -2) Reorder the terms: 2 = -10 + 25x + -9(-2 + 3x) 2 = -10 + 25x + (-2 * -9 + 3x * -9) 2 = -10 + 25x + (18 + -27x) Reorder the terms: 2 = -10 + 18 + 25x + -27x Combine like terms: -10 + 18 = 8 2 = 8 + 25x + -27x Combine like terms: 25x + -27x = -2x 2 = 8 + -2x Solving 2 = 8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 2 + 2x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 2x = 8 + 0 2 + 2x = 8 Add '-2' to each side of the equation. 2 + -2 + 2x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 8 + -2 2x = 8 + -2 Combine like terms: 8 + -2 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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