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Simplifying 1 + -2(3x + -5) = 3(-2x + 1) + 8 Reorder the terms: 1 + -2(-5 + 3x) = 3(-2x + 1) + 8 1 + (-5 * -2 + 3x * -2) = 3(-2x + 1) + 8 1 + (10 + -6x) = 3(-2x + 1) + 8 Combine like terms: 1 + 10 = 11 11 + -6x = 3(-2x + 1) + 8 Reorder the terms: 11 + -6x = 3(1 + -2x) + 8 11 + -6x = (1 * 3 + -2x * 3) + 8 11 + -6x = (3 + -6x) + 8 Reorder the terms: 11 + -6x = 3 + 8 + -6x Combine like terms: 3 + 8 = 11 11 + -6x = 11 + -6x Add '-11' to each side of the equation. 11 + -11 + -6x = 11 + -11 + -6x Combine like terms: 11 + -11 = 0 0 + -6x = 11 + -11 + -6x -6x = 11 + -11 + -6x Combine like terms: 11 + -11 = 0 -6x = 0 + -6x -6x = -6x Add '6x' to each side of the equation. -6x + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 0 = -6x + 6x Combine like terms: -6x + 6x = 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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