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Simplifying 8x + 8 = 7(x + 7) + -8 Reorder the terms: 8 + 8x = 7(x + 7) + -8 Reorder the terms: 8 + 8x = 7(7 + x) + -8 8 + 8x = (7 * 7 + x * 7) + -8 8 + 8x = (49 + 7x) + -8 Reorder the terms: 8 + 8x = 49 + -8 + 7x Combine like terms: 49 + -8 = 41 8 + 8x = 41 + 7x Solving 8 + 8x = 41 + 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. 8 + 8x + -7x = 41 + 7x + -7x Combine like terms: 8x + -7x = 1x 8 + 1x = 41 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + 1x = 41 + 0 8 + 1x = 41 Add '-8' to each side of the equation. 8 + -8 + 1x = 41 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 41 + -8 1x = 41 + -8 Combine like terms: 41 + -8 = 33 1x = 33 Divide each side by '1'. x = 33 Simplifying x = 33
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