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Simplifying 32x + -34 = 5(6x + -7) + 2x + 1 Reorder the terms: -34 + 32x = 5(6x + -7) + 2x + 1 Reorder the terms: -34 + 32x = 5(-7 + 6x) + 2x + 1 -34 + 32x = (-7 * 5 + 6x * 5) + 2x + 1 -34 + 32x = (-35 + 30x) + 2x + 1 Reorder the terms: -34 + 32x = -35 + 1 + 30x + 2x Combine like terms: -35 + 1 = -34 -34 + 32x = -34 + 30x + 2x Combine like terms: 30x + 2x = 32x -34 + 32x = -34 + 32x Add '34' to each side of the equation. -34 + 34 + 32x = -34 + 34 + 32x Combine like terms: -34 + 34 = 0 0 + 32x = -34 + 34 + 32x 32x = -34 + 34 + 32x Combine like terms: -34 + 34 = 0 32x = 0 + 32x 32x = 32x Add '-32x' to each side of the equation. 32x + -32x = 32x + -32x Combine like terms: 32x + -32x = 0 0 = 32x + -32x Combine like terms: 32x + -32x = 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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