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Simplifying 2(x + 4) + -3(2x + 2) = 0 Reorder the terms: 2(4 + x) + -3(2x + 2) = 0 (4 * 2 + x * 2) + -3(2x + 2) = 0 (8 + 2x) + -3(2x + 2) = 0 Reorder the terms: 8 + 2x + -3(2 + 2x) = 0 8 + 2x + (2 * -3 + 2x * -3) = 0 8 + 2x + (-6 + -6x) = 0 Reorder the terms: 8 + -6 + 2x + -6x = 0 Combine like terms: 8 + -6 = 2 2 + 2x + -6x = 0 Combine like terms: 2x + -6x = -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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