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Simplifying 3(x + 5) + 2x = -3(x + -5) + 8x Reorder the terms: 3(5 + x) + 2x = -3(x + -5) + 8x (5 * 3 + x * 3) + 2x = -3(x + -5) + 8x (15 + 3x) + 2x = -3(x + -5) + 8x Combine like terms: 3x + 2x = 5x 15 + 5x = -3(x + -5) + 8x Reorder the terms: 15 + 5x = -3(-5 + x) + 8x 15 + 5x = (-5 * -3 + x * -3) + 8x 15 + 5x = (15 + -3x) + 8x Combine like terms: -3x + 8x = 5x 15 + 5x = 15 + 5x Add '-15' to each side of the equation. 15 + -15 + 5x = 15 + -15 + 5x Combine like terms: 15 + -15 = 0 0 + 5x = 15 + -15 + 5x 5x = 15 + -15 + 5x Combine like terms: 15 + -15 = 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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