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Simplifying 8 + 7(2x + 6) = -6 + -2(7x + -9) Reorder the terms: 8 + 7(6 + 2x) = -6 + -2(7x + -9) 8 + (6 * 7 + 2x * 7) = -6 + -2(7x + -9) 8 + (42 + 14x) = -6 + -2(7x + -9) Combine like terms: 8 + 42 = 50 50 + 14x = -6 + -2(7x + -9) Reorder the terms: 50 + 14x = -6 + -2(-9 + 7x) 50 + 14x = -6 + (-9 * -2 + 7x * -2) 50 + 14x = -6 + (18 + -14x) Combine like terms: -6 + 18 = 12 50 + 14x = 12 + -14x Solving 50 + 14x = 12 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 50 + 14x + 14x = 12 + -14x + 14x Combine like terms: 14x + 14x = 28x 50 + 28x = 12 + -14x + 14x Combine like terms: -14x + 14x = 0 50 + 28x = 12 + 0 50 + 28x = 12 Add '-50' to each side of the equation. 50 + -50 + 28x = 12 + -50 Combine like terms: 50 + -50 = 0 0 + 28x = 12 + -50 28x = 12 + -50 Combine like terms: 12 + -50 = -38 28x = -38 Divide each side by '28'. x = -1.357142857 Simplifying x = -1.357142857
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