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Simplifying 4(5x + -6) + 2 = 12x + -2(4x + -11) Reorder the terms: 4(-6 + 5x) + 2 = 12x + -2(4x + -11) (-6 * 4 + 5x * 4) + 2 = 12x + -2(4x + -11) (-24 + 20x) + 2 = 12x + -2(4x + -11) Reorder the terms: -24 + 2 + 20x = 12x + -2(4x + -11) Combine like terms: -24 + 2 = -22 -22 + 20x = 12x + -2(4x + -11) Reorder the terms: -22 + 20x = 12x + -2(-11 + 4x) -22 + 20x = 12x + (-11 * -2 + 4x * -2) -22 + 20x = 12x + (22 + -8x) Reorder the terms: -22 + 20x = 22 + 12x + -8x Combine like terms: 12x + -8x = 4x -22 + 20x = 22 + 4x Solving -22 + 20x = 22 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -22 + 20x + -4x = 22 + 4x + -4x Combine like terms: 20x + -4x = 16x -22 + 16x = 22 + 4x + -4x Combine like terms: 4x + -4x = 0 -22 + 16x = 22 + 0 -22 + 16x = 22 Add '22' to each side of the equation. -22 + 22 + 16x = 22 + 22 Combine like terms: -22 + 22 = 0 0 + 16x = 22 + 22 16x = 22 + 22 Combine like terms: 22 + 22 = 44 16x = 44 Divide each side by '16'. x = 2.75 Simplifying x = 2.75
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