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Simplifying 5(x + -2) + 1 = 2x + 3(-3 + x) Reorder the terms: 5(-2 + x) + 1 = 2x + 3(-3 + x) (-2 * 5 + x * 5) + 1 = 2x + 3(-3 + x) (-10 + 5x) + 1 = 2x + 3(-3 + x) Reorder the terms: -10 + 1 + 5x = 2x + 3(-3 + x) Combine like terms: -10 + 1 = -9 -9 + 5x = 2x + 3(-3 + x) -9 + 5x = 2x + (-3 * 3 + x * 3) -9 + 5x = 2x + (-9 + 3x) Reorder the terms: -9 + 5x = -9 + 2x + 3x Combine like terms: 2x + 3x = 5x -9 + 5x = -9 + 5x Add '9' to each side of the equation. -9 + 9 + 5x = -9 + 9 + 5x Combine like terms: -9 + 9 = 0 0 + 5x = -9 + 9 + 5x 5x = -9 + 9 + 5x Combine like terms: -9 + 9 = 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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