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Simplifying 2x + 6(x + 5) = -6 + 4(2x + 9) Reorder the terms: 2x + 6(5 + x) = -6 + 4(2x + 9) 2x + (5 * 6 + x * 6) = -6 + 4(2x + 9) 2x + (30 + 6x) = -6 + 4(2x + 9) Reorder the terms: 30 + 2x + 6x = -6 + 4(2x + 9) Combine like terms: 2x + 6x = 8x 30 + 8x = -6 + 4(2x + 9) Reorder the terms: 30 + 8x = -6 + 4(9 + 2x) 30 + 8x = -6 + (9 * 4 + 2x * 4) 30 + 8x = -6 + (36 + 8x) Combine like terms: -6 + 36 = 30 30 + 8x = 30 + 8x Add '-30' to each side of the equation. 30 + -30 + 8x = 30 + -30 + 8x Combine like terms: 30 + -30 = 0 0 + 8x = 30 + -30 + 8x 8x = 30 + -30 + 8x Combine like terms: 30 + -30 = 0 8x = 0 + 8x 8x = 8x Add '-8x' to each side of the equation. 8x + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 0 = 8x + -8x Combine like terms: 8x + -8x = 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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