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Simplifying 4x + 1 + 3x + 2 + 2x + 3 + x + 4 = 5(2x + 2) Reorder the terms: 1 + 2 + 3 + 4 + 4x + 3x + 2x + x = 5(2x + 2) Combine like terms: 1 + 2 = 3 3 + 3 + 4 + 4x + 3x + 2x + x = 5(2x + 2) Combine like terms: 3 + 3 = 6 6 + 4 + 4x + 3x + 2x + x = 5(2x + 2) Combine like terms: 6 + 4 = 10 10 + 4x + 3x + 2x + x = 5(2x + 2) Combine like terms: 4x + 3x = 7x 10 + 7x + 2x + x = 5(2x + 2) Combine like terms: 7x + 2x = 9x 10 + 9x + x = 5(2x + 2) Combine like terms: 9x + x = 10x 10 + 10x = 5(2x + 2) Reorder the terms: 10 + 10x = 5(2 + 2x) 10 + 10x = (2 * 5 + 2x * 5) 10 + 10x = (10 + 10x) Add '-10' to each side of the equation. 10 + -10 + 10x = 10 + -10 + 10x Combine like terms: 10 + -10 = 0 0 + 10x = 10 + -10 + 10x 10x = 10 + -10 + 10x Combine like terms: 10 + -10 = 0 10x = 0 + 10x 10x = 10x Add '-10x' to each side of the equation. 10x + -10x = 10x + -10x Combine like terms: 10x + -10x = 0 0 = 10x + -10x Combine like terms: 10x + -10x = 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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