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Simplifying -3(2x + 2) = 2(x + 5) Reorder the terms: -3(2 + 2x) = 2(x + 5) (2 * -3 + 2x * -3) = 2(x + 5) (-6 + -6x) = 2(x + 5) Reorder the terms: -6 + -6x = 2(5 + x) -6 + -6x = (5 * 2 + x * 2) -6 + -6x = (10 + 2x) Solving -6 + -6x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + -6x + -2x = 10 + 2x + -2x Combine like terms: -6x + -2x = -8x -6 + -8x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -8x = 10 + 0 -6 + -8x = 10 Add '6' to each side of the equation. -6 + 6 + -8x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = 10 + 6 -8x = 10 + 6 Combine like terms: 10 + 6 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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