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Simplifying 2(x + 3) + 2(2x + -6) = 2600 Reorder the terms: 2(3 + x) + 2(2x + -6) = 2600 (3 * 2 + x * 2) + 2(2x + -6) = 2600 (6 + 2x) + 2(2x + -6) = 2600 Reorder the terms: 6 + 2x + 2(-6 + 2x) = 2600 6 + 2x + (-6 * 2 + 2x * 2) = 2600 6 + 2x + (-12 + 4x) = 2600 Reorder the terms: 6 + -12 + 2x + 4x = 2600 Combine like terms: 6 + -12 = -6 -6 + 2x + 4x = 2600 Combine like terms: 2x + 4x = 6x -6 + 6x = 2600 Solving -6 + 6x = 2600 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 6x = 2600 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 2600 + 6 6x = 2600 + 6 Combine like terms: 2600 + 6 = 2606 6x = 2606 Divide each side by '6'. x = 434.3333333 Simplifying x = 434.3333333
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