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Simplifying 5x + 2 = 2(4x + 1) + x Reorder the terms: 2 + 5x = 2(4x + 1) + x Reorder the terms: 2 + 5x = 2(1 + 4x) + x 2 + 5x = (1 * 2 + 4x * 2) + x 2 + 5x = (2 + 8x) + x Combine like terms: 8x + x = 9x 2 + 5x = 2 + 9x Add '-2' to each side of the equation. 2 + -2 + 5x = 2 + -2 + 9x Combine like terms: 2 + -2 = 0 0 + 5x = 2 + -2 + 9x 5x = 2 + -2 + 9x Combine like terms: 2 + -2 = 0 5x = 0 + 9x 5x = 9x Solving 5x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 5x + -9x = 9x + -9x Combine like terms: 5x + -9x = -4x -4x = 9x + -9x Combine like terms: 9x + -9x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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