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