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Simplifying 2(3x + 5) + -2x + 2 = 0 Reorder the terms: 2(5 + 3x) + -2x + 2 = 0 (5 * 2 + 3x * 2) + -2x + 2 = 0 (10 + 6x) + -2x + 2 = 0 Reorder the terms: 10 + 2 + 6x + -2x = 0 Combine like terms: 10 + 2 = 12 12 + 6x + -2x = 0 Combine like terms: 6x + -2x = 4x 12 + 4x = 0 Solving 12 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 4x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 0 + -12 4x = 0 + -12 Combine like terms: 0 + -12 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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