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Simplifying 4(x + 2) + x + 1 = 2x + -3 + 3(x + 4) Reorder the terms: 4(2 + x) + x + 1 = 2x + -3 + 3(x + 4) (2 * 4 + x * 4) + x + 1 = 2x + -3 + 3(x + 4) (8 + 4x) + x + 1 = 2x + -3 + 3(x + 4) Reorder the terms: 8 + 1 + 4x + x = 2x + -3 + 3(x + 4) Combine like terms: 8 + 1 = 9 9 + 4x + x = 2x + -3 + 3(x + 4) Combine like terms: 4x + x = 5x 9 + 5x = 2x + -3 + 3(x + 4) Reorder the terms: 9 + 5x = 2x + -3 + 3(4 + x) 9 + 5x = 2x + -3 + (4 * 3 + x * 3) 9 + 5x = 2x + -3 + (12 + 3x) Reorder the terms: 9 + 5x = -3 + 12 + 2x + 3x Combine like terms: -3 + 12 = 9 9 + 5x = 9 + 2x + 3x Combine like terms: 2x + 3x = 5x 9 + 5x = 9 + 5x Add '-9' to each side of the equation. 9 + -9 + 5x = 9 + -9 + 5x Combine like terms: 9 + -9 = 0 0 + 5x = 9 + -9 + 5x 5x = 9 + -9 + 5x Combine like terms: 9 + -9 = 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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