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Simplifying 5 + -2(3x + -4) = 2x + -1(2x + -6) Reorder the terms: 5 + -2(-4 + 3x) = 2x + -1(2x + -6) 5 + (-4 * -2 + 3x * -2) = 2x + -1(2x + -6) 5 + (8 + -6x) = 2x + -1(2x + -6) Combine like terms: 5 + 8 = 13 13 + -6x = 2x + -1(2x + -6) Reorder the terms: 13 + -6x = 2x + -1(-6 + 2x) 13 + -6x = 2x + (-6 * -1 + 2x * -1) 13 + -6x = 2x + (6 + -2x) Reorder the terms: 13 + -6x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + -6x = 6 + 0 13 + -6x = 6 Solving 13 + -6x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -6x = 6 + -13 Combine like terms: 13 + -13 = 0 0 + -6x = 6 + -13 -6x = 6 + -13 Combine like terms: 6 + -13 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667
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