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Simplifying 4 + -1(3x + 12) = (2x + -9) + -1(5x + -1) Reorder the terms: 4 + -1(12 + 3x) = (2x + -9) + -1(5x + -1) 4 + (12 * -1 + 3x * -1) = (2x + -9) + -1(5x + -1) 4 + (-12 + -3x) = (2x + -9) + -1(5x + -1) Combine like terms: 4 + -12 = -8 -8 + -3x = (2x + -9) + -1(5x + -1) Reorder the terms: -8 + -3x = (-9 + 2x) + -1(5x + -1) Remove parenthesis around (-9 + 2x) -8 + -3x = -9 + 2x + -1(5x + -1) Reorder the terms: -8 + -3x = -9 + 2x + -1(-1 + 5x) -8 + -3x = -9 + 2x + (-1 * -1 + 5x * -1) -8 + -3x = -9 + 2x + (1 + -5x) Reorder the terms: -8 + -3x = -9 + 1 + 2x + -5x Combine like terms: -9 + 1 = -8 -8 + -3x = -8 + 2x + -5x Combine like terms: 2x + -5x = -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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