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Simplifying 5(x + -3) + -3x = 3(x + -5) + -1x Reorder the terms: 5(-3 + x) + -3x = 3(x + -5) + -1x (-3 * 5 + x * 5) + -3x = 3(x + -5) + -1x (-15 + 5x) + -3x = 3(x + -5) + -1x Combine like terms: 5x + -3x = 2x -15 + 2x = 3(x + -5) + -1x Reorder the terms: -15 + 2x = 3(-5 + x) + -1x -15 + 2x = (-5 * 3 + x * 3) + -1x -15 + 2x = (-15 + 3x) + -1x Combine like terms: 3x + -1x = 2x -15 + 2x = -15 + 2x Add '15' to each side of the equation. -15 + 15 + 2x = -15 + 15 + 2x Combine like terms: -15 + 15 = 0 0 + 2x = -15 + 15 + 2x 2x = -15 + 15 + 2x Combine like terms: -15 + 15 = 0 2x = 0 + 2x 2x = 2x Add '-2x' to each side of the equation. 2x + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 2x + -2x Combine like terms: 2x + -2x = 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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