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Simplifying 2(2x + -3) = 13 + -2x Reorder the terms: 2(-3 + 2x) = 13 + -2x (-3 * 2 + 2x * 2) = 13 + -2x (-6 + 4x) = 13 + -2x Solving -6 + 4x = 13 + -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. -6 + 4x + 2x = 13 + -2x + 2x Combine like terms: 4x + 2x = 6x -6 + 6x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 6x = 13 + 0 -6 + 6x = 13 Add '6' to each side of the equation. -6 + 6 + 6x = 13 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 13 + 6 6x = 13 + 6 Combine like terms: 13 + 6 = 19 6x = 19 Divide each side by '6'. x = 3.166666667 Simplifying x = 3.166666667
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