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Simplifying 26 + -7x = 8(x + 8) + 7 Reorder the terms: 26 + -7x = 8(8 + x) + 7 26 + -7x = (8 * 8 + x * 8) + 7 26 + -7x = (64 + 8x) + 7 Reorder the terms: 26 + -7x = 64 + 7 + 8x Combine like terms: 64 + 7 = 71 26 + -7x = 71 + 8x Solving 26 + -7x = 71 + 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. 26 + -7x + -8x = 71 + 8x + -8x Combine like terms: -7x + -8x = -15x 26 + -15x = 71 + 8x + -8x Combine like terms: 8x + -8x = 0 26 + -15x = 71 + 0 26 + -15x = 71 Add '-26' to each side of the equation. 26 + -26 + -15x = 71 + -26 Combine like terms: 26 + -26 = 0 0 + -15x = 71 + -26 -15x = 71 + -26 Combine like terms: 71 + -26 = 45 -15x = 45 Divide each side by '-15'. x = -3 Simplifying x = -3
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