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Simplifying 4(3 + -1x) + -1(5 + 2x) = -11 (3 * 4 + -1x * 4) + -1(5 + 2x) = -11 (12 + -4x) + -1(5 + 2x) = -11 12 + -4x + (5 * -1 + 2x * -1) = -11 12 + -4x + (-5 + -2x) = -11 Reorder the terms: 12 + -5 + -4x + -2x = -11 Combine like terms: 12 + -5 = 7 7 + -4x + -2x = -11 Combine like terms: -4x + -2x = -6x 7 + -6x = -11 Solving 7 + -6x = -11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -6x = -11 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = -11 + -7 -6x = -11 + -7 Combine like terms: -11 + -7 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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