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Simplifying -3(x + 3) + -0.5(2x + -6) = 0 Reorder the terms: -3(3 + x) + -0.5(2x + -6) = 0 (3 * -3 + x * -3) + -0.5(2x + -6) = 0 (-9 + -3x) + -0.5(2x + -6) = 0 Reorder the terms: -9 + -3x + -0.5(-6 + 2x) = 0 -9 + -3x + (-6 * -0.5 + 2x * -0.5) = 0 -9 + -3x + (3 + -1x) = 0 Reorder the terms: -9 + 3 + -3x + -1x = 0 Combine like terms: -9 + 3 = -6 -6 + -3x + -1x = 0 Combine like terms: -3x + -1x = -4x -6 + -4x = 0 Solving -6 + -4x = 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 + -4x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = 0 + 6 -4x = 0 + 6 Combine like terms: 0 + 6 = 6 -4x = 6 Divide each side by '-4'. x = -1.5 Simplifying x = -1.5
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