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Simplifying 2(2x + -11) = 5(x + -2) Reorder the terms: 2(-11 + 2x) = 5(x + -2) (-11 * 2 + 2x * 2) = 5(x + -2) (-22 + 4x) = 5(x + -2) Reorder the terms: -22 + 4x = 5(-2 + x) -22 + 4x = (-2 * 5 + x * 5) -22 + 4x = (-10 + 5x) Solving -22 + 4x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -22 + 4x + -5x = -10 + 5x + -5x Combine like terms: 4x + -5x = -1x -22 + -1x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -22 + -1x = -10 + 0 -22 + -1x = -10 Add '22' to each side of the equation. -22 + 22 + -1x = -10 + 22 Combine like terms: -22 + 22 = 0 0 + -1x = -10 + 22 -1x = -10 + 22 Combine like terms: -10 + 22 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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