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Simplifying 4(5x + 2) + 6(2x + 4) + 2 = 32x + 34 Reorder the terms: 4(2 + 5x) + 6(2x + 4) + 2 = 32x + 34 (2 * 4 + 5x * 4) + 6(2x + 4) + 2 = 32x + 34 (8 + 20x) + 6(2x + 4) + 2 = 32x + 34 Reorder the terms: 8 + 20x + 6(4 + 2x) + 2 = 32x + 34 8 + 20x + (4 * 6 + 2x * 6) + 2 = 32x + 34 8 + 20x + (24 + 12x) + 2 = 32x + 34 Reorder the terms: 8 + 24 + 2 + 20x + 12x = 32x + 34 Combine like terms: 8 + 24 = 32 32 + 2 + 20x + 12x = 32x + 34 Combine like terms: 32 + 2 = 34 34 + 20x + 12x = 32x + 34 Combine like terms: 20x + 12x = 32x 34 + 32x = 32x + 34 Reorder the terms: 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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