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Simplifying 32x + -42 = 5(6x + -9) + 2x + 3 Reorder the terms: -42 + 32x = 5(6x + -9) + 2x + 3 Reorder the terms: -42 + 32x = 5(-9 + 6x) + 2x + 3 -42 + 32x = (-9 * 5 + 6x * 5) + 2x + 3 -42 + 32x = (-45 + 30x) + 2x + 3 Reorder the terms: -42 + 32x = -45 + 3 + 30x + 2x Combine like terms: -45 + 3 = -42 -42 + 32x = -42 + 30x + 2x Combine like terms: 30x + 2x = 32x -42 + 32x = -42 + 32x Add '42' to each side of the equation. -42 + 42 + 32x = -42 + 42 + 32x Combine like terms: -42 + 42 = 0 0 + 32x = -42 + 42 + 32x 32x = -42 + 42 + 32x Combine like terms: -42 + 42 = 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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