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Simplifying x + 2(3x + -5) = 5x + -6 Reorder the terms: x + 2(-5 + 3x) = 5x + -6 x + (-5 * 2 + 3x * 2) = 5x + -6 x + (-10 + 6x) = 5x + -6 Reorder the terms: -10 + x + 6x = 5x + -6 Combine like terms: x + 6x = 7x -10 + 7x = 5x + -6 Reorder the terms: -10 + 7x = -6 + 5x Solving -10 + 7x = -6 + 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. -10 + 7x + -5x = -6 + 5x + -5x Combine like terms: 7x + -5x = 2x -10 + 2x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + 2x = -6 + 0 -10 + 2x = -6 Add '10' to each side of the equation. -10 + 10 + 2x = -6 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = -6 + 10 2x = -6 + 10 Combine like terms: -6 + 10 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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