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Simplifying 2(2x + -3) = 2(x + 5) Reorder the terms: 2(-3 + 2x) = 2(x + 5) (-3 * 2 + 2x * 2) = 2(x + 5) (-6 + 4x) = 2(x + 5) Reorder the terms: -6 + 4x = 2(5 + x) -6 + 4x = (5 * 2 + x * 2) -6 + 4x = (10 + 2x) Solving -6 + 4x = 10 + 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 = 10 + 2x + -2x Combine like terms: 4x + -2x = 2x -6 + 2x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 2x = 10 + 0 -6 + 2x = 10 Add '6' to each side of the equation. -6 + 6 + 2x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 10 + 6 2x = 10 + 6 Combine like terms: 10 + 6 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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