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