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