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