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Simplifying 4 + 2(3x + 2) + -2(3 + 5x) = 0 Reorder the terms: 4 + 2(2 + 3x) + -2(3 + 5x) = 0 4 + (2 * 2 + 3x * 2) + -2(3 + 5x) = 0 4 + (4 + 6x) + -2(3 + 5x) = 0 4 + 4 + 6x + (3 * -2 + 5x * -2) = 0 4 + 4 + 6x + (-6 + -10x) = 0 Reorder the terms: 4 + 4 + -6 + 6x + -10x = 0 Combine like terms: 4 + 4 = 8 8 + -6 + 6x + -10x = 0 Combine like terms: 8 + -6 = 2 2 + 6x + -10x = 0 Combine like terms: 6x + -10x = -4x 2 + -4x = 0 Solving 2 + -4x = 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 + -4x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = 0 + -2 -4x = 0 + -2 Combine like terms: 0 + -2 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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