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Simplifying 3 + -5(2x + 1) + -2(x + -4) = 0 Reorder the terms: 3 + -5(1 + 2x) + -2(x + -4) = 0 3 + (1 * -5 + 2x * -5) + -2(x + -4) = 0 3 + (-5 + -10x) + -2(x + -4) = 0 Reorder the terms: 3 + -5 + -10x + -2(-4 + x) = 0 3 + -5 + -10x + (-4 * -2 + x * -2) = 0 3 + -5 + -10x + (8 + -2x) = 0 Reorder the terms: 3 + -5 + 8 + -10x + -2x = 0 Combine like terms: 3 + -5 = -2 -2 + 8 + -10x + -2x = 0 Combine like terms: -2 + 8 = 6 6 + -10x + -2x = 0 Combine like terms: -10x + -2x = -12x 6 + -12x = 0 Solving 6 + -12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -12x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -12x = 0 + -6 -12x = 0 + -6 Combine like terms: 0 + -6 = -6 -12x = -6 Divide each side by '-12'. x = 0.5 Simplifying x = 0.5
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