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Simplifying 6(4x + -5) = 2x + -2(11 + -6x) Reorder the terms: 6(-5 + 4x) = 2x + -2(11 + -6x) (-5 * 6 + 4x * 6) = 2x + -2(11 + -6x) (-30 + 24x) = 2x + -2(11 + -6x) -30 + 24x = 2x + (11 * -2 + -6x * -2) -30 + 24x = 2x + (-22 + 12x) Reorder the terms: -30 + 24x = -22 + 2x + 12x Combine like terms: 2x + 12x = 14x -30 + 24x = -22 + 14x Solving -30 + 24x = -22 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -30 + 24x + -14x = -22 + 14x + -14x Combine like terms: 24x + -14x = 10x -30 + 10x = -22 + 14x + -14x Combine like terms: 14x + -14x = 0 -30 + 10x = -22 + 0 -30 + 10x = -22 Add '30' to each side of the equation. -30 + 30 + 10x = -22 + 30 Combine like terms: -30 + 30 = 0 0 + 10x = -22 + 30 10x = -22 + 30 Combine like terms: -22 + 30 = 8 10x = 8 Divide each side by '10'. x = 0.8 Simplifying x = 0.8
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