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