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Simplifying 7[4 + -1(5 + 5x)] + -1x = -19 + 4(3 + -9x) 7[4 + (5 * -1 + 5x * -1)] + -1x = -19 + 4(3 + -9x) 7[4 + (-5 + -5x)] + -1x = -19 + 4(3 + -9x) Combine like terms: 4 + -5 = -1 7[-1 + -5x] + -1x = -19 + 4(3 + -9x) [-1 * 7 + -5x * 7] + -1x = -19 + 4(3 + -9x) [-7 + -35x] + -1x = -19 + 4(3 + -9x) Combine like terms: -35x + -1x = -36x -7 + -36x = -19 + 4(3 + -9x) -7 + -36x = -19 + (3 * 4 + -9x * 4) -7 + -36x = -19 + (12 + -36x) Combine like terms: -19 + 12 = -7 -7 + -36x = -7 + -36x Add '7' to each side of the equation. -7 + 7 + -36x = -7 + 7 + -36x Combine like terms: -7 + 7 = 0 0 + -36x = -7 + 7 + -36x -36x = -7 + 7 + -36x Combine like terms: -7 + 7 = 0 -36x = 0 + -36x -36x = -36x Add '36x' to each side of the equation. -36x + 36x = -36x + 36x Combine like terms: -36x + 36x = 0 0 = -36x + 36x Combine like terms: -36x + 36x = 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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