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Simplifying 2(4x + -1) + -1(3x + -5) = 12x + -11 Reorder the terms: 2(-1 + 4x) + -1(3x + -5) = 12x + -11 (-1 * 2 + 4x * 2) + -1(3x + -5) = 12x + -11 (-2 + 8x) + -1(3x + -5) = 12x + -11 Reorder the terms: -2 + 8x + -1(-5 + 3x) = 12x + -11 -2 + 8x + (-5 * -1 + 3x * -1) = 12x + -11 -2 + 8x + (5 + -3x) = 12x + -11 Reorder the terms: -2 + 5 + 8x + -3x = 12x + -11 Combine like terms: -2 + 5 = 3 3 + 8x + -3x = 12x + -11 Combine like terms: 8x + -3x = 5x 3 + 5x = 12x + -11 Reorder the terms: 3 + 5x = -11 + 12x Solving 3 + 5x = -11 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 3 + 5x + -12x = -11 + 12x + -12x Combine like terms: 5x + -12x = -7x 3 + -7x = -11 + 12x + -12x Combine like terms: 12x + -12x = 0 3 + -7x = -11 + 0 3 + -7x = -11 Add '-3' to each side of the equation. 3 + -3 + -7x = -11 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = -11 + -3 -7x = -11 + -3 Combine like terms: -11 + -3 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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