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Simplifying 5x + 2 = 7(x + 1) + -1x Reorder the terms: 2 + 5x = 7(x + 1) + -1x Reorder the terms: 2 + 5x = 7(1 + x) + -1x 2 + 5x = (1 * 7 + x * 7) + -1x 2 + 5x = (7 + 7x) + -1x Combine like terms: 7x + -1x = 6x 2 + 5x = 7 + 6x Solving 2 + 5x = 7 + 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. 2 + 5x + -6x = 7 + 6x + -6x Combine like terms: 5x + -6x = -1x 2 + -1x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -1x = 7 + 0 2 + -1x = 7 Add '-2' to each side of the equation. 2 + -2 + -1x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 7 + -2 -1x = 7 + -2 Combine like terms: 7 + -2 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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