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Simplifying 8x + 2(x + 1) = 7(x + -2) + 3(x + 1) + 13 Reorder the terms: 8x + 2(1 + x) = 7(x + -2) + 3(x + 1) + 13 8x + (1 * 2 + x * 2) = 7(x + -2) + 3(x + 1) + 13 8x + (2 + 2x) = 7(x + -2) + 3(x + 1) + 13 Reorder the terms: 2 + 8x + 2x = 7(x + -2) + 3(x + 1) + 13 Combine like terms: 8x + 2x = 10x 2 + 10x = 7(x + -2) + 3(x + 1) + 13 Reorder the terms: 2 + 10x = 7(-2 + x) + 3(x + 1) + 13 2 + 10x = (-2 * 7 + x * 7) + 3(x + 1) + 13 2 + 10x = (-14 + 7x) + 3(x + 1) + 13 Reorder the terms: 2 + 10x = -14 + 7x + 3(1 + x) + 13 2 + 10x = -14 + 7x + (1 * 3 + x * 3) + 13 2 + 10x = -14 + 7x + (3 + 3x) + 13 Reorder the terms: 2 + 10x = -14 + 3 + 13 + 7x + 3x Combine like terms: -14 + 3 = -11 2 + 10x = -11 + 13 + 7x + 3x Combine like terms: -11 + 13 = 2 2 + 10x = 2 + 7x + 3x Combine like terms: 7x + 3x = 10x 2 + 10x = 2 + 10x Add '-2' to each side of the equation. 2 + -2 + 10x = 2 + -2 + 10x Combine like terms: 2 + -2 = 0 0 + 10x = 2 + -2 + 10x 10x = 2 + -2 + 10x Combine like terms: 2 + -2 = 0 10x = 0 + 10x 10x = 10x Add '-10x' to each side of the equation. 10x + -10x = 10x + -10x Combine like terms: 10x + -10x = 0 0 = 10x + -10x Combine like terms: 10x + -10x = 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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