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Simplifying 3(2x + -2) = 2(5x + -11) Reorder the terms: 3(-2 + 2x) = 2(5x + -11) (-2 * 3 + 2x * 3) = 2(5x + -11) (-6 + 6x) = 2(5x + -11) Reorder the terms: -6 + 6x = 2(-11 + 5x) -6 + 6x = (-11 * 2 + 5x * 2) -6 + 6x = (-22 + 10x) Solving -6 + 6x = -22 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -6 + 6x + -10x = -22 + 10x + -10x Combine like terms: 6x + -10x = -4x -6 + -4x = -22 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -4x = -22 + 0 -6 + -4x = -22 Add '6' to each side of the equation. -6 + 6 + -4x = -22 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = -22 + 6 -4x = -22 + 6 Combine like terms: -22 + 6 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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