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Simplifying 8(x + 7) + 9 = 6(x + 2) + -1 Reorder the terms: 8(7 + x) + 9 = 6(x + 2) + -1 (7 * 8 + x * 8) + 9 = 6(x + 2) + -1 (56 + 8x) + 9 = 6(x + 2) + -1 Reorder the terms: 56 + 9 + 8x = 6(x + 2) + -1 Combine like terms: 56 + 9 = 65 65 + 8x = 6(x + 2) + -1 Reorder the terms: 65 + 8x = 6(2 + x) + -1 65 + 8x = (2 * 6 + x * 6) + -1 65 + 8x = (12 + 6x) + -1 Reorder the terms: 65 + 8x = 12 + -1 + 6x Combine like terms: 12 + -1 = 11 65 + 8x = 11 + 6x Solving 65 + 8x = 11 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 65 + 8x + -6x = 11 + 6x + -6x Combine like terms: 8x + -6x = 2x 65 + 2x = 11 + 6x + -6x Combine like terms: 6x + -6x = 0 65 + 2x = 11 + 0 65 + 2x = 11 Add '-65' to each side of the equation. 65 + -65 + 2x = 11 + -65 Combine like terms: 65 + -65 = 0 0 + 2x = 11 + -65 2x = 11 + -65 Combine like terms: 11 + -65 = -54 2x = -54 Divide each side by '2'. x = -27 Simplifying x = -27
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