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Simplifying 6(2x + 1) + -7x + 14 = 5(x + 4) Reorder the terms: 6(1 + 2x) + -7x + 14 = 5(x + 4) (1 * 6 + 2x * 6) + -7x + 14 = 5(x + 4) (6 + 12x) + -7x + 14 = 5(x + 4) Reorder the terms: 6 + 14 + 12x + -7x = 5(x + 4) Combine like terms: 6 + 14 = 20 20 + 12x + -7x = 5(x + 4) Combine like terms: 12x + -7x = 5x 20 + 5x = 5(x + 4) Reorder the terms: 20 + 5x = 5(4 + x) 20 + 5x = (4 * 5 + x * 5) 20 + 5x = (20 + 5x) Add '-20' to each side of the equation. 20 + -20 + 5x = 20 + -20 + 5x Combine like terms: 20 + -20 = 0 0 + 5x = 20 + -20 + 5x 5x = 20 + -20 + 5x Combine like terms: 20 + -20 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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