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Simplifying 3 + -7(-1 + -2x) = 5 + -1(x + -6) 3 + (-1 * -7 + -2x * -7) = 5 + -1(x + -6) 3 + (7 + 14x) = 5 + -1(x + -6) Combine like terms: 3 + 7 = 10 10 + 14x = 5 + -1(x + -6) Reorder the terms: 10 + 14x = 5 + -1(-6 + x) 10 + 14x = 5 + (-6 * -1 + x * -1) 10 + 14x = 5 + (6 + -1x) Combine like terms: 5 + 6 = 11 10 + 14x = 11 + -1x Solving 10 + 14x = 11 + -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 + 14x + x = 11 + -1x + x Combine like terms: 14x + x = 15x 10 + 15x = 11 + -1x + x Combine like terms: -1x + x = 0 10 + 15x = 11 + 0 10 + 15x = 11 Add '-10' to each side of the equation. 10 + -10 + 15x = 11 + -10 Combine like terms: 10 + -10 = 0 0 + 15x = 11 + -10 15x = 11 + -10 Combine like terms: 11 + -10 = 1 15x = 1 Divide each side by '15'. x = 0.06666666667 Simplifying x = 0.06666666667
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