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Simplifying 3 + -1(4x + -6) = 2(x + 5) + -6 Reorder the terms: 3 + -1(-6 + 4x) = 2(x + 5) + -6 3 + (-6 * -1 + 4x * -1) = 2(x + 5) + -6 3 + (6 + -4x) = 2(x + 5) + -6 Combine like terms: 3 + 6 = 9 9 + -4x = 2(x + 5) + -6 Reorder the terms: 9 + -4x = 2(5 + x) + -6 9 + -4x = (5 * 2 + x * 2) + -6 9 + -4x = (10 + 2x) + -6 Reorder the terms: 9 + -4x = 10 + -6 + 2x Combine like terms: 10 + -6 = 4 9 + -4x = 4 + 2x Solving 9 + -4x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 9 + -4x + -2x = 4 + 2x + -2x Combine like terms: -4x + -2x = -6x 9 + -6x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + -6x = 4 + 0 9 + -6x = 4 Add '-9' to each side of the equation. 9 + -9 + -6x = 4 + -9 Combine like terms: 9 + -9 = 0 0 + -6x = 4 + -9 -6x = 4 + -9 Combine like terms: 4 + -9 = -5 -6x = -5 Divide each side by '-6'. x = 0.8333333333 Simplifying x = 0.8333333333
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