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Simplifying 5(x + -3) + 9 = (2x + 3) + 3(-3 + x) Reorder the terms: 5(-3 + x) + 9 = (2x + 3) + 3(-3 + x) (-3 * 5 + x * 5) + 9 = (2x + 3) + 3(-3 + x) (-15 + 5x) + 9 = (2x + 3) + 3(-3 + x) Reorder the terms: -15 + 9 + 5x = (2x + 3) + 3(-3 + x) Combine like terms: -15 + 9 = -6 -6 + 5x = (2x + 3) + 3(-3 + x) Reorder the terms: -6 + 5x = (3 + 2x) + 3(-3 + x) Remove parenthesis around (3 + 2x) -6 + 5x = 3 + 2x + 3(-3 + x) -6 + 5x = 3 + 2x + (-3 * 3 + x * 3) -6 + 5x = 3 + 2x + (-9 + 3x) Reorder the terms: -6 + 5x = 3 + -9 + 2x + 3x Combine like terms: 3 + -9 = -6 -6 + 5x = -6 + 2x + 3x Combine like terms: 2x + 3x = 5x -6 + 5x = -6 + 5x Add '6' to each side of the equation. -6 + 6 + 5x = -6 + 6 + 5x Combine like terms: -6 + 6 = 0 0 + 5x = -6 + 6 + 5x 5x = -6 + 6 + 5x Combine like terms: -6 + 6 = 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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