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Simplifying (7x + 1) + 9 = 8(x + 6) Reorder the terms: (1 + 7x) + 9 = 8(x + 6) Remove parenthesis around (1 + 7x) 1 + 7x + 9 = 8(x + 6) Reorder the terms: 1 + 9 + 7x = 8(x + 6) Combine like terms: 1 + 9 = 10 10 + 7x = 8(x + 6) Reorder the terms: 10 + 7x = 8(6 + x) 10 + 7x = (6 * 8 + x * 8) 10 + 7x = (48 + 8x) Solving 10 + 7x = 48 + 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. 10 + 7x + -8x = 48 + 8x + -8x Combine like terms: 7x + -8x = -1x 10 + -1x = 48 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -1x = 48 + 0 10 + -1x = 48 Add '-10' to each side of the equation. 10 + -10 + -1x = 48 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 48 + -10 -1x = 48 + -10 Combine like terms: 48 + -10 = 38 -1x = 38 Divide each side by '-1'. x = -38 Simplifying x = -38
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