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Simplifying -2(3x + 5) + 4(2x + 2) = 0 Reorder the terms: -2(5 + 3x) + 4(2x + 2) = 0 (5 * -2 + 3x * -2) + 4(2x + 2) = 0 (-10 + -6x) + 4(2x + 2) = 0 Reorder the terms: -10 + -6x + 4(2 + 2x) = 0 -10 + -6x + (2 * 4 + 2x * 4) = 0 -10 + -6x + (8 + 8x) = 0 Reorder the terms: -10 + 8 + -6x + 8x = 0 Combine like terms: -10 + 8 = -2 -2 + -6x + 8x = 0 Combine like terms: -6x + 8x = 2x -2 + 2x = 0 Solving -2 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 0 + 2 2x = 0 + 2 Combine like terms: 0 + 2 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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