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Simplifying 3x + -2(5 + -4x) = 2x + 10 3x + (5 * -2 + -4x * -2) = 2x + 10 3x + (-10 + 8x) = 2x + 10 Reorder the terms: -10 + 3x + 8x = 2x + 10 Combine like terms: 3x + 8x = 11x -10 + 11x = 2x + 10 Reorder the terms: -10 + 11x = 10 + 2x Solving -10 + 11x = 10 + 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. -10 + 11x + -2x = 10 + 2x + -2x Combine like terms: 11x + -2x = 9x -10 + 9x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 9x = 10 + 0 -10 + 9x = 10 Add '10' to each side of the equation. -10 + 10 + 9x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 9x = 10 + 10 9x = 10 + 10 Combine like terms: 10 + 10 = 20 9x = 20 Divide each side by '9'. x = 2.222222222 Simplifying x = 2.222222222
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