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