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Simplifying 19x + 15(x + 1) = 34(x + 1) + -19 Reorder the terms: 19x + 15(1 + x) = 34(x + 1) + -19 19x + (1 * 15 + x * 15) = 34(x + 1) + -19 19x + (15 + 15x) = 34(x + 1) + -19 Reorder the terms: 15 + 19x + 15x = 34(x + 1) + -19 Combine like terms: 19x + 15x = 34x 15 + 34x = 34(x + 1) + -19 Reorder the terms: 15 + 34x = 34(1 + x) + -19 15 + 34x = (1 * 34 + x * 34) + -19 15 + 34x = (34 + 34x) + -19 Reorder the terms: 15 + 34x = 34 + -19 + 34x Combine like terms: 34 + -19 = 15 15 + 34x = 15 + 34x Add '-15' to each side of the equation. 15 + -15 + 34x = 15 + -15 + 34x Combine like terms: 15 + -15 = 0 0 + 34x = 15 + -15 + 34x 34x = 15 + -15 + 34x Combine like terms: 15 + -15 = 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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