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Simplifying 3x + 2(x + -5) = 2(3x + -1) Reorder the terms: 3x + 2(-5 + x) = 2(3x + -1) 3x + (-5 * 2 + x * 2) = 2(3x + -1) 3x + (-10 + 2x) = 2(3x + -1) Reorder the terms: -10 + 3x + 2x = 2(3x + -1) Combine like terms: 3x + 2x = 5x -10 + 5x = 2(3x + -1) Reorder the terms: -10 + 5x = 2(-1 + 3x) -10 + 5x = (-1 * 2 + 3x * 2) -10 + 5x = (-2 + 6x) Solving -10 + 5x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -10 + 5x + -6x = -2 + 6x + -6x Combine like terms: 5x + -6x = -1x -10 + -1x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + -1x = -2 + 0 -10 + -1x = -2 Add '10' to each side of the equation. -10 + 10 + -1x = -2 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = -2 + 10 -1x = -2 + 10 Combine like terms: -2 + 10 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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