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Simplifying 8x + 1 = 7(x + 3) + -8 Reorder the terms: 1 + 8x = 7(x + 3) + -8 Reorder the terms: 1 + 8x = 7(3 + x) + -8 1 + 8x = (3 * 7 + x * 7) + -8 1 + 8x = (21 + 7x) + -8 Reorder the terms: 1 + 8x = 21 + -8 + 7x Combine like terms: 21 + -8 = 13 1 + 8x = 13 + 7x Solving 1 + 8x = 13 + 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. 1 + 8x + -7x = 13 + 7x + -7x Combine like terms: 8x + -7x = 1x 1 + 1x = 13 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + 1x = 13 + 0 1 + 1x = 13 Add '-1' to each side of the equation. 1 + -1 + 1x = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 13 + -1 1x = 13 + -1 Combine like terms: 13 + -1 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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