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Simplifying 5(x + 6) + -1x = 4(x + 7) + 2 Reorder the terms: 5(6 + x) + -1x = 4(x + 7) + 2 (6 * 5 + x * 5) + -1x = 4(x + 7) + 2 (30 + 5x) + -1x = 4(x + 7) + 2 Combine like terms: 5x + -1x = 4x 30 + 4x = 4(x + 7) + 2 Reorder the terms: 30 + 4x = 4(7 + x) + 2 30 + 4x = (7 * 4 + x * 4) + 2 30 + 4x = (28 + 4x) + 2 Reorder the terms: 30 + 4x = 28 + 2 + 4x Combine like terms: 28 + 2 = 30 30 + 4x = 30 + 4x Add '-30' to each side of the equation. 30 + -30 + 4x = 30 + -30 + 4x Combine like terms: 30 + -30 = 0 0 + 4x = 30 + -30 + 4x 4x = 30 + -30 + 4x Combine like terms: 30 + -30 = 0 4x = 0 + 4x 4x = 4x Add '-4x' to each side of the equation. 4x + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 0 = 4x + -4x Combine like terms: 4x + -4x = 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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