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Simplifying 5[5 + -1(3 + 2x)] + -23x = 4 + 3(2 + -11x) 5[5 + (3 * -1 + 2x * -1)] + -23x = 4 + 3(2 + -11x) 5[5 + (-3 + -2x)] + -23x = 4 + 3(2 + -11x) Combine like terms: 5 + -3 = 2 5[2 + -2x] + -23x = 4 + 3(2 + -11x) [2 * 5 + -2x * 5] + -23x = 4 + 3(2 + -11x) [10 + -10x] + -23x = 4 + 3(2 + -11x) Combine like terms: -10x + -23x = -33x 10 + -33x = 4 + 3(2 + -11x) 10 + -33x = 4 + (2 * 3 + -11x * 3) 10 + -33x = 4 + (6 + -33x) Combine like terms: 4 + 6 = 10 10 + -33x = 10 + -33x Add '-10' to each side of the equation. 10 + -10 + -33x = 10 + -10 + -33x Combine like terms: 10 + -10 = 0 0 + -33x = 10 + -10 + -33x -33x = 10 + -10 + -33x Combine like terms: 10 + -10 = 0 -33x = 0 + -33x -33x = -33x Add '33x' to each side of the equation. -33x + 33x = -33x + 33x Combine like terms: -33x + 33x = 0 0 = -33x + 33x Combine like terms: -33x + 33x = 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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