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Simplifying 5x + 3(x + -5) = 6x + 2x + -15 Reorder the terms: 5x + 3(-5 + x) = 6x + 2x + -15 5x + (-5 * 3 + x * 3) = 6x + 2x + -15 5x + (-15 + 3x) = 6x + 2x + -15 Reorder the terms: -15 + 5x + 3x = 6x + 2x + -15 Combine like terms: 5x + 3x = 8x -15 + 8x = 6x + 2x + -15 Reorder the terms: -15 + 8x = -15 + 6x + 2x Combine like terms: 6x + 2x = 8x -15 + 8x = -15 + 8x Add '15' to each side of the equation. -15 + 15 + 8x = -15 + 15 + 8x Combine like terms: -15 + 15 = 0 0 + 8x = -15 + 15 + 8x 8x = -15 + 15 + 8x Combine like terms: -15 + 15 = 0 8x = 0 + 8x 8x = 8x Add '-8x' to each side of the equation. 8x + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 0 = 8x + -8x Combine like terms: 8x + -8x = 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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