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Simplifying 3(2x + 5) + 2(x + -3) = 8(x + 1) + 1 Reorder the terms: 3(5 + 2x) + 2(x + -3) = 8(x + 1) + 1 (5 * 3 + 2x * 3) + 2(x + -3) = 8(x + 1) + 1 (15 + 6x) + 2(x + -3) = 8(x + 1) + 1 Reorder the terms: 15 + 6x + 2(-3 + x) = 8(x + 1) + 1 15 + 6x + (-3 * 2 + x * 2) = 8(x + 1) + 1 15 + 6x + (-6 + 2x) = 8(x + 1) + 1 Reorder the terms: 15 + -6 + 6x + 2x = 8(x + 1) + 1 Combine like terms: 15 + -6 = 9 9 + 6x + 2x = 8(x + 1) + 1 Combine like terms: 6x + 2x = 8x 9 + 8x = 8(x + 1) + 1 Reorder the terms: 9 + 8x = 8(1 + x) + 1 9 + 8x = (1 * 8 + x * 8) + 1 9 + 8x = (8 + 8x) + 1 Reorder the terms: 9 + 8x = 8 + 1 + 8x Combine like terms: 8 + 1 = 9 9 + 8x = 9 + 8x Add '-9' to each side of the equation. 9 + -9 + 8x = 9 + -9 + 8x Combine like terms: 9 + -9 = 0 0 + 8x = 9 + -9 + 8x 8x = 9 + -9 + 8x Combine like terms: 9 + -9 = 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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