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Simplifying 7[4 + -1(5 + 6x)] + -4x = -9 + 2(1 + -23x) 7[4 + (5 * -1 + 6x * -1)] + -4x = -9 + 2(1 + -23x) 7[4 + (-5 + -6x)] + -4x = -9 + 2(1 + -23x) Combine like terms: 4 + -5 = -1 7[-1 + -6x] + -4x = -9 + 2(1 + -23x) [-1 * 7 + -6x * 7] + -4x = -9 + 2(1 + -23x) [-7 + -42x] + -4x = -9 + 2(1 + -23x) Combine like terms: -42x + -4x = -46x -7 + -46x = -9 + 2(1 + -23x) -7 + -46x = -9 + (1 * 2 + -23x * 2) -7 + -46x = -9 + (2 + -46x) Combine like terms: -9 + 2 = -7 -7 + -46x = -7 + -46x Add '7' to each side of the equation. -7 + 7 + -46x = -7 + 7 + -46x Combine like terms: -7 + 7 = 0 0 + -46x = -7 + 7 + -46x -46x = -7 + 7 + -46x Combine like terms: -7 + 7 = 0 -46x = 0 + -46x -46x = -46x Add '46x' to each side of the equation. -46x + 46x = -46x + 46x Combine like terms: -46x + 46x = 0 0 = -46x + 46x Combine like terms: -46x + 46x = 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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