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