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Simplifying 7[4 + -1(5 + 2x)] + -2x = -9 + 2(1 + -8x) 7[4 + (5 * -1 + 2x * -1)] + -2x = -9 + 2(1 + -8x) 7[4 + (-5 + -2x)] + -2x = -9 + 2(1 + -8x) Combine like terms: 4 + -5 = -1 7[-1 + -2x] + -2x = -9 + 2(1 + -8x) [-1 * 7 + -2x * 7] + -2x = -9 + 2(1 + -8x) [-7 + -14x] + -2x = -9 + 2(1 + -8x) Combine like terms: -14x + -2x = -16x -7 + -16x = -9 + 2(1 + -8x) -7 + -16x = -9 + (1 * 2 + -8x * 2) -7 + -16x = -9 + (2 + -16x) Combine like terms: -9 + 2 = -7 -7 + -16x = -7 + -16x Add '7' to each side of the equation. -7 + 7 + -16x = -7 + 7 + -16x Combine like terms: -7 + 7 = 0 0 + -16x = -7 + 7 + -16x -16x = -7 + 7 + -16x Combine like terms: -7 + 7 = 0 -16x = 0 + -16x -16x = -16x Add '16x' to each side of the equation. -16x + 16x = -16x + 16x Combine like terms: -16x + 16x = 0 0 = -16x + 16x Combine like terms: -16x + 16x = 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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