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Simplifying 15x + 14(x + 1) = 29(x + 1) + -15 Reorder the terms: 15x + 14(1 + x) = 29(x + 1) + -15 15x + (1 * 14 + x * 14) = 29(x + 1) + -15 15x + (14 + 14x) = 29(x + 1) + -15 Reorder the terms: 14 + 15x + 14x = 29(x + 1) + -15 Combine like terms: 15x + 14x = 29x 14 + 29x = 29(x + 1) + -15 Reorder the terms: 14 + 29x = 29(1 + x) + -15 14 + 29x = (1 * 29 + x * 29) + -15 14 + 29x = (29 + 29x) + -15 Reorder the terms: 14 + 29x = 29 + -15 + 29x Combine like terms: 29 + -15 = 14 14 + 29x = 14 + 29x Add '-14' to each side of the equation. 14 + -14 + 29x = 14 + -14 + 29x Combine like terms: 14 + -14 = 0 0 + 29x = 14 + -14 + 29x 29x = 14 + -14 + 29x Combine like terms: 14 + -14 = 0 29x = 0 + 29x 29x = 29x Add '-29x' to each side of the equation. 29x + -29x = 29x + -29x Combine like terms: 29x + -29x = 0 0 = 29x + -29x Combine like terms: 29x + -29x = 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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