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