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Simplifying 17x + -24 = 2(6x + -8) + 5x + -8 Reorder the terms: -24 + 17x = 2(6x + -8) + 5x + -8 Reorder the terms: -24 + 17x = 2(-8 + 6x) + 5x + -8 -24 + 17x = (-8 * 2 + 6x * 2) + 5x + -8 -24 + 17x = (-16 + 12x) + 5x + -8 Reorder the terms: -24 + 17x = -16 + -8 + 12x + 5x Combine like terms: -16 + -8 = -24 -24 + 17x = -24 + 12x + 5x Combine like terms: 12x + 5x = 17x -24 + 17x = -24 + 17x Add '24' to each side of the equation. -24 + 24 + 17x = -24 + 24 + 17x Combine like terms: -24 + 24 = 0 0 + 17x = -24 + 24 + 17x 17x = -24 + 24 + 17x Combine like terms: -24 + 24 = 0 17x = 0 + 17x 17x = 17x Add '-17x' to each side of the equation. 17x + -17x = 17x + -17x Combine like terms: 17x + -17x = 0 0 = 17x + -17x Combine like terms: 17x + -17x = 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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