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Simplifying 7 + -3(x + 3) = -5(x + -2) + 2x + -12 Reorder the terms: 7 + -3(3 + x) = -5(x + -2) + 2x + -12 7 + (3 * -3 + x * -3) = -5(x + -2) + 2x + -12 7 + (-9 + -3x) = -5(x + -2) + 2x + -12 Combine like terms: 7 + -9 = -2 -2 + -3x = -5(x + -2) + 2x + -12 Reorder the terms: -2 + -3x = -5(-2 + x) + 2x + -12 -2 + -3x = (-2 * -5 + x * -5) + 2x + -12 -2 + -3x = (10 + -5x) + 2x + -12 Reorder the terms: -2 + -3x = 10 + -12 + -5x + 2x Combine like terms: 10 + -12 = -2 -2 + -3x = -2 + -5x + 2x Combine like terms: -5x + 2x = -3x -2 + -3x = -2 + -3x Add '2' to each side of the equation. -2 + 2 + -3x = -2 + 2 + -3x Combine like terms: -2 + 2 = 0 0 + -3x = -2 + 2 + -3x -3x = -2 + 2 + -3x Combine like terms: -2 + 2 = 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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