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Simplifying 3x + -2(5 + -4x) = 2x + 6 3x + (5 * -2 + -4x * -2) = 2x + 6 3x + (-10 + 8x) = 2x + 6 Reorder the terms: -10 + 3x + 8x = 2x + 6 Combine like terms: 3x + 8x = 11x -10 + 11x = 2x + 6 Reorder the terms: -10 + 11x = 6 + 2x Solving -10 + 11x = 6 + 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 = 6 + 2x + -2x Combine like terms: 11x + -2x = 9x -10 + 9x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 9x = 6 + 0 -10 + 9x = 6 Add '10' to each side of the equation. -10 + 10 + 9x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 9x = 6 + 10 9x = 6 + 10 Combine like terms: 6 + 10 = 16 9x = 16 Divide each side by '9'. x = 1.777777778 Simplifying x = 1.777777778
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