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Simplifying 6x + -2 = 2(2x + -5) Reorder the terms: -2 + 6x = 2(2x + -5) Reorder the terms: -2 + 6x = 2(-5 + 2x) -2 + 6x = (-5 * 2 + 2x * 2) -2 + 6x = (-10 + 4x) Solving -2 + 6x = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 6x + -4x = -10 + 4x + -4x Combine like terms: 6x + -4x = 2x -2 + 2x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 2x = -10 + 0 -2 + 2x = -10 Add '2' to each side of the equation. -2 + 2 + 2x = -10 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = -10 + 2 2x = -10 + 2 Combine like terms: -10 + 2 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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