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Simplifying 8x + 1 = 9(x + 7) Reorder the terms: 1 + 8x = 9(x + 7) Reorder the terms: 1 + 8x = 9(7 + x) 1 + 8x = (7 * 9 + x * 9) 1 + 8x = (63 + 9x) Solving 1 + 8x = 63 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 1 + 8x + -9x = 63 + 9x + -9x Combine like terms: 8x + -9x = -1x 1 + -1x = 63 + 9x + -9x Combine like terms: 9x + -9x = 0 1 + -1x = 63 + 0 1 + -1x = 63 Add '-1' to each side of the equation. 1 + -1 + -1x = 63 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 63 + -1 -1x = 63 + -1 Combine like terms: 63 + -1 = 62 -1x = 62 Divide each side by '-1'. x = -62 Simplifying x = -62
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