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Simplifying 4(x + 2) + 3(2x + -1) = 5(2x + 1) Reorder the terms: 4(2 + x) + 3(2x + -1) = 5(2x + 1) (2 * 4 + x * 4) + 3(2x + -1) = 5(2x + 1) (8 + 4x) + 3(2x + -1) = 5(2x + 1) Reorder the terms: 8 + 4x + 3(-1 + 2x) = 5(2x + 1) 8 + 4x + (-1 * 3 + 2x * 3) = 5(2x + 1) 8 + 4x + (-3 + 6x) = 5(2x + 1) Reorder the terms: 8 + -3 + 4x + 6x = 5(2x + 1) Combine like terms: 8 + -3 = 5 5 + 4x + 6x = 5(2x + 1) Combine like terms: 4x + 6x = 10x 5 + 10x = 5(2x + 1) Reorder the terms: 5 + 10x = 5(1 + 2x) 5 + 10x = (1 * 5 + 2x * 5) 5 + 10x = (5 + 10x) Add '-5' to each side of the equation. 5 + -5 + 10x = 5 + -5 + 10x Combine like terms: 5 + -5 = 0 0 + 10x = 5 + -5 + 10x 10x = 5 + -5 + 10x Combine like terms: 5 + -5 = 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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