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Simplifying 1(x + 1) + 5x = 7x + 1 Reorder the terms: 1(1 + x) + 5x = 7x + 1 (1 * 1 + x * 1) + 5x = 7x + 1 (1 + 1x) + 5x = 7x + 1 Combine like terms: 1x + 5x = 6x 1 + 6x = 7x + 1 Reorder the terms: 1 + 6x = 1 + 7x Add '-1' to each side of the equation. 1 + -1 + 6x = 1 + -1 + 7x Combine like terms: 1 + -1 = 0 0 + 6x = 1 + -1 + 7x 6x = 1 + -1 + 7x Combine like terms: 1 + -1 = 0 6x = 0 + 7x 6x = 7x Solving 6x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6x + -7x = 7x + -7x Combine like terms: 6x + -7x = -1x -1x = 7x + -7x Combine like terms: 7x + -7x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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