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Simplifying x + 5(x + 2) = -1(x + -6) Reorder the terms: x + 5(2 + x) = -1(x + -6) x + (2 * 5 + x * 5) = -1(x + -6) x + (10 + 5x) = -1(x + -6) Reorder the terms: 10 + x + 5x = -1(x + -6) Combine like terms: x + 5x = 6x 10 + 6x = -1(x + -6) Reorder the terms: 10 + 6x = -1(-6 + x) 10 + 6x = (-6 * -1 + x * -1) 10 + 6x = (6 + -1x) Solving 10 + 6x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 10 + 6x + x = 6 + -1x + x Combine like terms: 6x + x = 7x 10 + 7x = 6 + -1x + x Combine like terms: -1x + x = 0 10 + 7x = 6 + 0 10 + 7x = 6 Add '-10' to each side of the equation. 10 + -10 + 7x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 6 + -10 7x = 6 + -10 Combine like terms: 6 + -10 = -4 7x = -4 Divide each side by '7'. x = -0.5714285714 Simplifying x = -0.5714285714
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