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Simplifying 5(x + -2) + -1 = 2x + 3(x + 4) + -23 Reorder the terms: 5(-2 + x) + -1 = 2x + 3(x + 4) + -23 (-2 * 5 + x * 5) + -1 = 2x + 3(x + 4) + -23 (-10 + 5x) + -1 = 2x + 3(x + 4) + -23 Reorder the terms: -10 + -1 + 5x = 2x + 3(x + 4) + -23 Combine like terms: -10 + -1 = -11 -11 + 5x = 2x + 3(x + 4) + -23 Reorder the terms: -11 + 5x = 2x + 3(4 + x) + -23 -11 + 5x = 2x + (4 * 3 + x * 3) + -23 -11 + 5x = 2x + (12 + 3x) + -23 Reorder the terms: -11 + 5x = 12 + -23 + 2x + 3x Combine like terms: 12 + -23 = -11 -11 + 5x = -11 + 2x + 3x Combine like terms: 2x + 3x = 5x -11 + 5x = -11 + 5x Add '11' to each side of the equation. -11 + 11 + 5x = -11 + 11 + 5x Combine like terms: -11 + 11 = 0 0 + 5x = -11 + 11 + 5x 5x = -11 + 11 + 5x Combine like terms: -11 + 11 = 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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