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Simplifying 0.75(2x + -4) + -0.5(6x + 9) = 0 Reorder the terms: 0.75(-4 + 2x) + -0.5(6x + 9) = 0 (-4 * 0.75 + 2x * 0.75) + -0.5(6x + 9) = 0 (-3 + 1.5x) + -0.5(6x + 9) = 0 Reorder the terms: -3 + 1.5x + -0.5(9 + 6x) = 0 -3 + 1.5x + (9 * -0.5 + 6x * -0.5) = 0 -3 + 1.5x + (-4.5 + -3x) = 0 Reorder the terms: -3 + -4.5 + 1.5x + -3x = 0 Combine like terms: -3 + -4.5 = -7.5 -7.5 + 1.5x + -3x = 0 Combine like terms: 1.5x + -3x = -1.5x -7.5 + -1.5x = 0 Solving -7.5 + -1.5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7.5' to each side of the equation. -7.5 + 7.5 + -1.5x = 0 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + -1.5x = 0 + 7.5 -1.5x = 0 + 7.5 Combine like terms: 0 + 7.5 = 7.5 -1.5x = 7.5 Divide each side by '-1.5'. x = -5 Simplifying x = -5
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