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Simplifying 2(3x + 4) + -2(x + -5) = 0 Reorder the terms: 2(4 + 3x) + -2(x + -5) = 0 (4 * 2 + 3x * 2) + -2(x + -5) = 0 (8 + 6x) + -2(x + -5) = 0 Reorder the terms: 8 + 6x + -2(-5 + x) = 0 8 + 6x + (-5 * -2 + x * -2) = 0 8 + 6x + (10 + -2x) = 0 Reorder the terms: 8 + 10 + 6x + -2x = 0 Combine like terms: 8 + 10 = 18 18 + 6x + -2x = 0 Combine like terms: 6x + -2x = 4x 18 + 4x = 0 Solving 18 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 4x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 4x = 0 + -18 4x = 0 + -18 Combine like terms: 0 + -18 = -18 4x = -18 Divide each side by '4'. x = -4.5 Simplifying x = -4.5
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