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Simplifying 8(x + 7) = 4(x + 12) + 4(x + 1) Reorder the terms: 8(7 + x) = 4(x + 12) + 4(x + 1) (7 * 8 + x * 8) = 4(x + 12) + 4(x + 1) (56 + 8x) = 4(x + 12) + 4(x + 1) Reorder the terms: 56 + 8x = 4(12 + x) + 4(x + 1) 56 + 8x = (12 * 4 + x * 4) + 4(x + 1) 56 + 8x = (48 + 4x) + 4(x + 1) Reorder the terms: 56 + 8x = 48 + 4x + 4(1 + x) 56 + 8x = 48 + 4x + (1 * 4 + x * 4) 56 + 8x = 48 + 4x + (4 + 4x) Reorder the terms: 56 + 8x = 48 + 4 + 4x + 4x Combine like terms: 48 + 4 = 52 56 + 8x = 52 + 4x + 4x Combine like terms: 4x + 4x = 8x 56 + 8x = 52 + 8x Add '-8x' to each side of the equation. 56 + 8x + -8x = 52 + 8x + -8x Combine like terms: 8x + -8x = 0 56 + 0 = 52 + 8x + -8x 56 = 52 + 8x + -8x Combine like terms: 8x + -8x = 0 56 = 52 + 0 56 = 52 Solving 56 = 52 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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