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Simplifying 3(x + -3) = 5(x + -1) + -2(x + 2) Reorder the terms: 3(-3 + x) = 5(x + -1) + -2(x + 2) (-3 * 3 + x * 3) = 5(x + -1) + -2(x + 2) (-9 + 3x) = 5(x + -1) + -2(x + 2) Reorder the terms: -9 + 3x = 5(-1 + x) + -2(x + 2) -9 + 3x = (-1 * 5 + x * 5) + -2(x + 2) -9 + 3x = (-5 + 5x) + -2(x + 2) Reorder the terms: -9 + 3x = -5 + 5x + -2(2 + x) -9 + 3x = -5 + 5x + (2 * -2 + x * -2) -9 + 3x = -5 + 5x + (-4 + -2x) Reorder the terms: -9 + 3x = -5 + -4 + 5x + -2x Combine like terms: -5 + -4 = -9 -9 + 3x = -9 + 5x + -2x Combine like terms: 5x + -2x = 3x -9 + 3x = -9 + 3x Add '9' to each side of the equation. -9 + 9 + 3x = -9 + 9 + 3x Combine like terms: -9 + 9 = 0 0 + 3x = -9 + 9 + 3x 3x = -9 + 9 + 3x Combine like terms: -9 + 9 = 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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