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Simplifying 20x + 14(x + 1) = 34(x + 1) + -20 Reorder the terms: 20x + 14(1 + x) = 34(x + 1) + -20 20x + (1 * 14 + x * 14) = 34(x + 1) + -20 20x + (14 + 14x) = 34(x + 1) + -20 Reorder the terms: 14 + 20x + 14x = 34(x + 1) + -20 Combine like terms: 20x + 14x = 34x 14 + 34x = 34(x + 1) + -20 Reorder the terms: 14 + 34x = 34(1 + x) + -20 14 + 34x = (1 * 34 + x * 34) + -20 14 + 34x = (34 + 34x) + -20 Reorder the terms: 14 + 34x = 34 + -20 + 34x Combine like terms: 34 + -20 = 14 14 + 34x = 14 + 34x Add '-14' to each side of the equation. 14 + -14 + 34x = 14 + -14 + 34x Combine like terms: 14 + -14 = 0 0 + 34x = 14 + -14 + 34x 34x = 14 + -14 + 34x Combine like terms: 14 + -14 = 0 34x = 0 + 34x 34x = 34x Add '-34x' to each side of the equation. 34x + -34x = 34x + -34x Combine like terms: 34x + -34x = 0 0 = 34x + -34x Combine like terms: 34x + -34x = 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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