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Simplifying 7[2 + -1(3 + 2x)] = -9 + 2(1 + -8x) 7[2 + (3 * -1 + 2x * -1)] = -9 + 2(1 + -8x) 7[2 + (-3 + -2x)] = -9 + 2(1 + -8x) Combine like terms: 2 + -3 = -1 7[-1 + -2x] = -9 + 2(1 + -8x) [-1 * 7 + -2x * 7] = -9 + 2(1 + -8x) [-7 + -14x] = -9 + 2(1 + -8x) -7 + -14x = -9 + (1 * 2 + -8x * 2) -7 + -14x = -9 + (2 + -16x) Combine like terms: -9 + 2 = -7 -7 + -14x = -7 + -16x Add '7' to each side of the equation. -7 + 7 + -14x = -7 + 7 + -16x Combine like terms: -7 + 7 = 0 0 + -14x = -7 + 7 + -16x -14x = -7 + 7 + -16x Combine like terms: -7 + 7 = 0 -14x = 0 + -16x -14x = -16x Solving -14x = -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -14x + 16x = -16x + 16x Combine like terms: -14x + 16x = 2x 2x = -16x + 16x Combine like terms: -16x + 16x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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