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Simplifying 8(x + 3) = 5(x + -3) + 3(x + 13) Reorder the terms: 8(3 + x) = 5(x + -3) + 3(x + 13) (3 * 8 + x * 8) = 5(x + -3) + 3(x + 13) (24 + 8x) = 5(x + -3) + 3(x + 13) Reorder the terms: 24 + 8x = 5(-3 + x) + 3(x + 13) 24 + 8x = (-3 * 5 + x * 5) + 3(x + 13) 24 + 8x = (-15 + 5x) + 3(x + 13) Reorder the terms: 24 + 8x = -15 + 5x + 3(13 + x) 24 + 8x = -15 + 5x + (13 * 3 + x * 3) 24 + 8x = -15 + 5x + (39 + 3x) Reorder the terms: 24 + 8x = -15 + 39 + 5x + 3x Combine like terms: -15 + 39 = 24 24 + 8x = 24 + 5x + 3x Combine like terms: 5x + 3x = 8x 24 + 8x = 24 + 8x Add '-24' to each side of the equation. 24 + -24 + 8x = 24 + -24 + 8x Combine like terms: 24 + -24 = 0 0 + 8x = 24 + -24 + 8x 8x = 24 + -24 + 8x Combine like terms: 24 + -24 = 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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