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Simplifying -2 + 7x + 5 = 8(x + 1) + -5 Reorder the terms: -2 + 5 + 7x = 8(x + 1) + -5 Combine like terms: -2 + 5 = 3 3 + 7x = 8(x + 1) + -5 Reorder the terms: 3 + 7x = 8(1 + x) + -5 3 + 7x = (1 * 8 + x * 8) + -5 3 + 7x = (8 + 8x) + -5 Reorder the terms: 3 + 7x = 8 + -5 + 8x Combine like terms: 8 + -5 = 3 3 + 7x = 3 + 8x Add '-3' to each side of the equation. 3 + -3 + 7x = 3 + -3 + 8x Combine like terms: 3 + -3 = 0 0 + 7x = 3 + -3 + 8x 7x = 3 + -3 + 8x Combine like terms: 3 + -3 = 0 7x = 0 + 8x 7x = 8x Solving 7x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 7x + -8x = 8x + -8x Combine like terms: 7x + -8x = -1x -1x = 8x + -8x Combine like terms: 8x + -8x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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