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Simplifying 7(2x + 8) = 7(-9x + -2) Reorder the terms: 7(8 + 2x) = 7(-9x + -2) (8 * 7 + 2x * 7) = 7(-9x + -2) (56 + 14x) = 7(-9x + -2) Reorder the terms: 56 + 14x = 7(-2 + -9x) 56 + 14x = (-2 * 7 + -9x * 7) 56 + 14x = (-14 + -63x) Solving 56 + 14x = -14 + -63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63x' to each side of the equation. 56 + 14x + 63x = -14 + -63x + 63x Combine like terms: 14x + 63x = 77x 56 + 77x = -14 + -63x + 63x Combine like terms: -63x + 63x = 0 56 + 77x = -14 + 0 56 + 77x = -14 Add '-56' to each side of the equation. 56 + -56 + 77x = -14 + -56 Combine like terms: 56 + -56 = 0 0 + 77x = -14 + -56 77x = -14 + -56 Combine like terms: -14 + -56 = -70 77x = -70 Divide each side by '77'. x = -0.9090909091 Simplifying x = -0.9090909091
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