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Simplifying 11 + -6(x + 2) + 3(x + 3) = 5x + -8(x + -1) Reorder the terms: 11 + -6(2 + x) + 3(x + 3) = 5x + -8(x + -1) 11 + (2 * -6 + x * -6) + 3(x + 3) = 5x + -8(x + -1) 11 + (-12 + -6x) + 3(x + 3) = 5x + -8(x + -1) Reorder the terms: 11 + -12 + -6x + 3(3 + x) = 5x + -8(x + -1) 11 + -12 + -6x + (3 * 3 + x * 3) = 5x + -8(x + -1) 11 + -12 + -6x + (9 + 3x) = 5x + -8(x + -1) Reorder the terms: 11 + -12 + 9 + -6x + 3x = 5x + -8(x + -1) Combine like terms: 11 + -12 = -1 -1 + 9 + -6x + 3x = 5x + -8(x + -1) Combine like terms: -1 + 9 = 8 8 + -6x + 3x = 5x + -8(x + -1) Combine like terms: -6x + 3x = -3x 8 + -3x = 5x + -8(x + -1) Reorder the terms: 8 + -3x = 5x + -8(-1 + x) 8 + -3x = 5x + (-1 * -8 + x * -8) 8 + -3x = 5x + (8 + -8x) Reorder the terms: 8 + -3x = 8 + 5x + -8x Combine like terms: 5x + -8x = -3x 8 + -3x = 8 + -3x Add '-8' to each side of the equation. 8 + -8 + -3x = 8 + -8 + -3x Combine like terms: 8 + -8 = 0 0 + -3x = 8 + -8 + -3x -3x = 8 + -8 + -3x Combine like terms: 8 + -8 = 0 -3x = 0 + -3x -3x = -3x Add '3x' to each side of the equation. -3x + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 0 = -3x + 3x Combine like terms: -3x + 3x = 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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