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Simplifying -2(2x + -9) + 4(3x + -5) = 3 Reorder the terms: -2(-9 + 2x) + 4(3x + -5) = 3 (-9 * -2 + 2x * -2) + 4(3x + -5) = 3 (18 + -4x) + 4(3x + -5) = 3 Reorder the terms: 18 + -4x + 4(-5 + 3x) = 3 18 + -4x + (-5 * 4 + 3x * 4) = 3 18 + -4x + (-20 + 12x) = 3 Reorder the terms: 18 + -20 + -4x + 12x = 3 Combine like terms: 18 + -20 = -2 -2 + -4x + 12x = 3 Combine like terms: -4x + 12x = 8x -2 + 8x = 3 Solving -2 + 8x = 3 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 + 8x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = 3 + 2 8x = 3 + 2 Combine like terms: 3 + 2 = 5 8x = 5 Divide each side by '8'. x = 0.625 Simplifying x = 0.625
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