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Simplifying 2(x + 3) + -5 = 4x + 1 Reorder the terms: 2(3 + x) + -5 = 4x + 1 (3 * 2 + x * 2) + -5 = 4x + 1 (6 + 2x) + -5 = 4x + 1 Reorder the terms: 6 + -5 + 2x = 4x + 1 Combine like terms: 6 + -5 = 1 1 + 2x = 4x + 1 Reorder the terms: 1 + 2x = 1 + 4x Add '-1' to each side of the equation. 1 + -1 + 2x = 1 + -1 + 4x Combine like terms: 1 + -1 = 0 0 + 2x = 1 + -1 + 4x 2x = 1 + -1 + 4x Combine like terms: 1 + -1 = 0 2x = 0 + 4x 2x = 4x Solving 2x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2x + -4x = 4x + -4x Combine like terms: 2x + -4x = -2x -2x = 4x + -4x Combine like terms: 4x + -4x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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