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Simplifying 3(x + -5) + 5x = 6x + 2(x + -5) + -5 Reorder the terms: 3(-5 + x) + 5x = 6x + 2(x + -5) + -5 (-5 * 3 + x * 3) + 5x = 6x + 2(x + -5) + -5 (-15 + 3x) + 5x = 6x + 2(x + -5) + -5 Combine like terms: 3x + 5x = 8x -15 + 8x = 6x + 2(x + -5) + -5 Reorder the terms: -15 + 8x = 6x + 2(-5 + x) + -5 -15 + 8x = 6x + (-5 * 2 + x * 2) + -5 -15 + 8x = 6x + (-10 + 2x) + -5 Reorder the terms: -15 + 8x = -10 + -5 + 6x + 2x Combine like terms: -10 + -5 = -15 -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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