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Simplifying 0.666666666667(6x + -3) = 2x + -2 Reorder the terms: 0.666666666667(-3 + 6x) = 2x + -2 (-3 * 0.666666666667 + 6x * 0.666666666667) = 2x + -2 (-2 + 4x) = 2x + -2 Reorder the terms: -2 + 4x = -2 + 2x Add '2' to each side of the equation. -2 + 2 + 4x = -2 + 2 + 2x Combine like terms: -2 + 2 = 0 0 + 4x = -2 + 2 + 2x 4x = -2 + 2 + 2x Combine like terms: -2 + 2 = 0 4x = 0 + 2x 4x = 2x Solving 4x = 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. 4x + -2x = 2x + -2x Combine like terms: 4x + -2x = 2x 2x = 2x + -2x Combine like terms: 2x + -2x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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