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Simplifying 8[3 + -1(2 + 4x)] + -10x = 2 + 3(2 + -14x) 8[3 + (2 * -1 + 4x * -1)] + -10x = 2 + 3(2 + -14x) 8[3 + (-2 + -4x)] + -10x = 2 + 3(2 + -14x) Combine like terms: 3 + -2 = 1 8[1 + -4x] + -10x = 2 + 3(2 + -14x) [1 * 8 + -4x * 8] + -10x = 2 + 3(2 + -14x) [8 + -32x] + -10x = 2 + 3(2 + -14x) Combine like terms: -32x + -10x = -42x 8 + -42x = 2 + 3(2 + -14x) 8 + -42x = 2 + (2 * 3 + -14x * 3) 8 + -42x = 2 + (6 + -42x) Combine like terms: 2 + 6 = 8 8 + -42x = 8 + -42x Add '-8' to each side of the equation. 8 + -8 + -42x = 8 + -8 + -42x Combine like terms: 8 + -8 = 0 0 + -42x = 8 + -8 + -42x -42x = 8 + -8 + -42x Combine like terms: 8 + -8 = 0 -42x = 0 + -42x -42x = -42x Add '42x' to each side of the equation. -42x + 42x = -42x + 42x Combine like terms: -42x + 42x = 0 0 = -42x + 42x Combine like terms: -42x + 42x = 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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