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Simplifying 88(x + 3) + 7(x + 2) = 5x + 6(x + 1) Reorder the terms: 88(3 + x) + 7(x + 2) = 5x + 6(x + 1) (3 * 88 + x * 88) + 7(x + 2) = 5x + 6(x + 1) (264 + 88x) + 7(x + 2) = 5x + 6(x + 1) Reorder the terms: 264 + 88x + 7(2 + x) = 5x + 6(x + 1) 264 + 88x + (2 * 7 + x * 7) = 5x + 6(x + 1) 264 + 88x + (14 + 7x) = 5x + 6(x + 1) Reorder the terms: 264 + 14 + 88x + 7x = 5x + 6(x + 1) Combine like terms: 264 + 14 = 278 278 + 88x + 7x = 5x + 6(x + 1) Combine like terms: 88x + 7x = 95x 278 + 95x = 5x + 6(x + 1) Reorder the terms: 278 + 95x = 5x + 6(1 + x) 278 + 95x = 5x + (1 * 6 + x * 6) 278 + 95x = 5x + (6 + 6x) Reorder the terms: 278 + 95x = 6 + 5x + 6x Combine like terms: 5x + 6x = 11x 278 + 95x = 6 + 11x Solving 278 + 95x = 6 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 278 + 95x + -11x = 6 + 11x + -11x Combine like terms: 95x + -11x = 84x 278 + 84x = 6 + 11x + -11x Combine like terms: 11x + -11x = 0 278 + 84x = 6 + 0 278 + 84x = 6 Add '-278' to each side of the equation. 278 + -278 + 84x = 6 + -278 Combine like terms: 278 + -278 = 0 0 + 84x = 6 + -278 84x = 6 + -278 Combine like terms: 6 + -278 = -272 84x = -272 Divide each side by '84'. x = -3.238095238 Simplifying x = -3.238095238
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