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Simplifying 3(x + -8) + 2x = 5(x + 2) + -34 Reorder the terms: 3(-8 + x) + 2x = 5(x + 2) + -34 (-8 * 3 + x * 3) + 2x = 5(x + 2) + -34 (-24 + 3x) + 2x = 5(x + 2) + -34 Combine like terms: 3x + 2x = 5x -24 + 5x = 5(x + 2) + -34 Reorder the terms: -24 + 5x = 5(2 + x) + -34 -24 + 5x = (2 * 5 + x * 5) + -34 -24 + 5x = (10 + 5x) + -34 Reorder the terms: -24 + 5x = 10 + -34 + 5x Combine like terms: 10 + -34 = -24 -24 + 5x = -24 + 5x Add '24' to each side of the equation. -24 + 24 + 5x = -24 + 24 + 5x Combine like terms: -24 + 24 = 0 0 + 5x = -24 + 24 + 5x 5x = -24 + 24 + 5x Combine like terms: -24 + 24 = 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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