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Simplifying 2(2x + -3) = 6 + 2x + 14 Reorder the terms: 2(-3 + 2x) = 6 + 2x + 14 (-3 * 2 + 2x * 2) = 6 + 2x + 14 (-6 + 4x) = 6 + 2x + 14 Reorder the terms: -6 + 4x = 6 + 14 + 2x Combine like terms: 6 + 14 = 20 -6 + 4x = 20 + 2x Solving -6 + 4x = 20 + 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 = 20 + 2x + -2x Combine like terms: 4x + -2x = 2x -6 + 2x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 2x = 20 + 0 -6 + 2x = 20 Add '6' to each side of the equation. -6 + 6 + 2x = 20 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 20 + 6 2x = 20 + 6 Combine like terms: 20 + 6 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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