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Simplifying 7[2 + -1(2 + 4x)] + -2x = -9 + 2(1 + -15x) 7[2 + (2 * -1 + 4x * -1)] + -2x = -9 + 2(1 + -15x) 7[2 + (-2 + -4x)] + -2x = -9 + 2(1 + -15x) Combine like terms: 2 + -2 = 0 7[0 + -4x] + -2x = -9 + 2(1 + -15x) 7[-4x] + -2x = -9 + 2(1 + -15x) Remove brackets around [-4x] 7 * -4x + -2x = -9 + 2(1 + -15x) Multiply 7 * -4 -28x + -2x = -9 + 2(1 + -15x) Combine like terms: -28x + -2x = -30x -30x = -9 + 2(1 + -15x) -30x = -9 + (1 * 2 + -15x * 2) -30x = -9 + (2 + -30x) Combine like terms: -9 + 2 = -7 -30x = -7 + -30x Add '30x' to each side of the equation. -30x + 30x = -7 + -30x + 30x Combine like terms: -30x + 30x = 0 0 = -7 + -30x + 30x Combine like terms: -30x + 30x = 0 0 = -7 + 0 0 = -7 Solving 0 = -7 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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