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Simplifying 7(x + 4) + -2x = 5(x + 5) + 3 Reorder the terms: 7(4 + x) + -2x = 5(x + 5) + 3 (4 * 7 + x * 7) + -2x = 5(x + 5) + 3 (28 + 7x) + -2x = 5(x + 5) + 3 Combine like terms: 7x + -2x = 5x 28 + 5x = 5(x + 5) + 3 Reorder the terms: 28 + 5x = 5(5 + x) + 3 28 + 5x = (5 * 5 + x * 5) + 3 28 + 5x = (25 + 5x) + 3 Reorder the terms: 28 + 5x = 25 + 3 + 5x Combine like terms: 25 + 3 = 28 28 + 5x = 28 + 5x Add '-28' to each side of the equation. 28 + -28 + 5x = 28 + -28 + 5x Combine like terms: 28 + -28 = 0 0 + 5x = 28 + -28 + 5x 5x = 28 + -28 + 5x Combine like terms: 28 + -28 = 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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