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Simplifying 7(4x + 6) + 2x + 6 = 6(5x + 8) Reorder the terms: 7(6 + 4x) + 2x + 6 = 6(5x + 8) (6 * 7 + 4x * 7) + 2x + 6 = 6(5x + 8) (42 + 28x) + 2x + 6 = 6(5x + 8) Reorder the terms: 42 + 6 + 28x + 2x = 6(5x + 8) Combine like terms: 42 + 6 = 48 48 + 28x + 2x = 6(5x + 8) Combine like terms: 28x + 2x = 30x 48 + 30x = 6(5x + 8) Reorder the terms: 48 + 30x = 6(8 + 5x) 48 + 30x = (8 * 6 + 5x * 6) 48 + 30x = (48 + 30x) Add '-48' to each side of the equation. 48 + -48 + 30x = 48 + -48 + 30x Combine like terms: 48 + -48 = 0 0 + 30x = 48 + -48 + 30x 30x = 48 + -48 + 30x Combine like terms: 48 + -48 = 0 30x = 0 + 30x 30x = 30x Add '-30x' to each side of the equation. 30x + -30x = 30x + -30x Combine like terms: 30x + -30x = 0 0 = 30x + -30x Combine like terms: 30x + -30x = 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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