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Simplifying 8(x + 4) + -1x = 6(x + 5) + x + 2 Reorder the terms: 8(4 + x) + -1x = 6(x + 5) + x + 2 (4 * 8 + x * 8) + -1x = 6(x + 5) + x + 2 (32 + 8x) + -1x = 6(x + 5) + x + 2 Combine like terms: 8x + -1x = 7x 32 + 7x = 6(x + 5) + x + 2 Reorder the terms: 32 + 7x = 6(5 + x) + x + 2 32 + 7x = (5 * 6 + x * 6) + x + 2 32 + 7x = (30 + 6x) + x + 2 Reorder the terms: 32 + 7x = 30 + 2 + 6x + x Combine like terms: 30 + 2 = 32 32 + 7x = 32 + 6x + x Combine like terms: 6x + x = 7x 32 + 7x = 32 + 7x Add '-32' to each side of the equation. 32 + -32 + 7x = 32 + -32 + 7x Combine like terms: 32 + -32 = 0 0 + 7x = 32 + -32 + 7x 7x = 32 + -32 + 7x Combine like terms: 32 + -32 = 0 7x = 0 + 7x 7x = 7x Add '-7x' to each side of the equation. 7x + -7x = 7x + -7x Combine like terms: 7x + -7x = 0 0 = 7x + -7x Combine like terms: 7x + -7x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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