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Simplifying -0.5(6x + 9) + -1(x + -1.5) = 0 Reorder the terms: -0.5(9 + 6x) + -1(x + -1.5) = 0 (9 * -0.5 + 6x * -0.5) + -1(x + -1.5) = 0 (-4.5 + -3x) + -1(x + -1.5) = 0 Reorder the terms: -4.5 + -3x + -1(-1.5 + x) = 0 -4.5 + -3x + (-1.5 * -1 + x * -1) = 0 -4.5 + -3x + (1.5 + -1x) = 0 Reorder the terms: -4.5 + 1.5 + -3x + -1x = 0 Combine like terms: -4.5 + 1.5 = -3 -3 + -3x + -1x = 0 Combine like terms: -3x + -1x = -4x -3 + -4x = 0 Solving -3 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 0 + 3 -4x = 0 + 3 Combine like terms: 0 + 3 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75
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