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Simplifying 5(2x + 4) = x + 3(3x + 6) + 2 Reorder the terms: 5(4 + 2x) = x + 3(3x + 6) + 2 (4 * 5 + 2x * 5) = x + 3(3x + 6) + 2 (20 + 10x) = x + 3(3x + 6) + 2 Reorder the terms: 20 + 10x = x + 3(6 + 3x) + 2 20 + 10x = x + (6 * 3 + 3x * 3) + 2 20 + 10x = x + (18 + 9x) + 2 Reorder the terms: 20 + 10x = 18 + 2 + x + 9x Combine like terms: 18 + 2 = 20 20 + 10x = 20 + x + 9x Combine like terms: x + 9x = 10x 20 + 10x = 20 + 10x Add '-20' to each side of the equation. 20 + -20 + 10x = 20 + -20 + 10x Combine like terms: 20 + -20 = 0 0 + 10x = 20 + -20 + 10x 10x = 20 + -20 + 10x Combine like terms: 20 + -20 = 0 10x = 0 + 10x 10x = 10x Add '-10x' to each side of the equation. 10x + -10x = 10x + -10x Combine like terms: 10x + -10x = 0 0 = 10x + -10x Combine like terms: 10x + -10x = 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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