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Simplifying 5(2x + 6) + -2(3x + -2) = 0 Reorder the terms: 5(6 + 2x) + -2(3x + -2) = 0 (6 * 5 + 2x * 5) + -2(3x + -2) = 0 (30 + 10x) + -2(3x + -2) = 0 Reorder the terms: 30 + 10x + -2(-2 + 3x) = 0 30 + 10x + (-2 * -2 + 3x * -2) = 0 30 + 10x + (4 + -6x) = 0 Reorder the terms: 30 + 4 + 10x + -6x = 0 Combine like terms: 30 + 4 = 34 34 + 10x + -6x = 0 Combine like terms: 10x + -6x = 4x 34 + 4x = 0 Solving 34 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 4x = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 4x = 0 + -34 4x = 0 + -34 Combine like terms: 0 + -34 = -34 4x = -34 Divide each side by '4'. x = -8.5 Simplifying x = -8.5
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