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Simplifying 5(x + 4) + 2x = 4(x + 5) + 3x Reorder the terms: 5(4 + x) + 2x = 4(x + 5) + 3x (4 * 5 + x * 5) + 2x = 4(x + 5) + 3x (20 + 5x) + 2x = 4(x + 5) + 3x Combine like terms: 5x + 2x = 7x 20 + 7x = 4(x + 5) + 3x Reorder the terms: 20 + 7x = 4(5 + x) + 3x 20 + 7x = (5 * 4 + x * 4) + 3x 20 + 7x = (20 + 4x) + 3x Combine like terms: 4x + 3x = 7x 20 + 7x = 20 + 7x Add '-20' to each side of the equation. 20 + -20 + 7x = 20 + -20 + 7x Combine like terms: 20 + -20 = 0 0 + 7x = 20 + -20 + 7x 7x = 20 + -20 + 7x Combine like terms: 20 + -20 = 0 7x = 0 + 7x 7x = 7x Add '-7x' to each side of the equation. 7x + -7x = 7x + -7x Combine like terms: 7x + -7x = 0 0 = 7x + -7x Combine like terms: 7x + -7x = 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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