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Simplifying 23 + -5(3 + -2x) = 3(4x + 8) + -2(x + 8) 23 + (3 * -5 + -2x * -5) = 3(4x + 8) + -2(x + 8) 23 + (-15 + 10x) = 3(4x + 8) + -2(x + 8) Combine like terms: 23 + -15 = 8 8 + 10x = 3(4x + 8) + -2(x + 8) Reorder the terms: 8 + 10x = 3(8 + 4x) + -2(x + 8) 8 + 10x = (8 * 3 + 4x * 3) + -2(x + 8) 8 + 10x = (24 + 12x) + -2(x + 8) Reorder the terms: 8 + 10x = 24 + 12x + -2(8 + x) 8 + 10x = 24 + 12x + (8 * -2 + x * -2) 8 + 10x = 24 + 12x + (-16 + -2x) Reorder the terms: 8 + 10x = 24 + -16 + 12x + -2x Combine like terms: 24 + -16 = 8 8 + 10x = 8 + 12x + -2x Combine like terms: 12x + -2x = 10x 8 + 10x = 8 + 10x Add '-8' to each side of the equation. 8 + -8 + 10x = 8 + -8 + 10x Combine like terms: 8 + -8 = 0 0 + 10x = 8 + -8 + 10x 10x = 8 + -8 + 10x Combine like terms: 8 + -8 = 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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