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Simplifying 4(2.5x + 3.5) + -5.5(4x + 5) = 0 Reorder the terms: 4(3.5 + 2.5x) + -5.5(4x + 5) = 0 (3.5 * 4 + 2.5x * 4) + -5.5(4x + 5) = 0 (14 + 10x) + -5.5(4x + 5) = 0 Reorder the terms: 14 + 10x + -5.5(5 + 4x) = 0 14 + 10x + (5 * -5.5 + 4x * -5.5) = 0 14 + 10x + (-27.5 + -22x) = 0 Reorder the terms: 14 + -27.5 + 10x + -22x = 0 Combine like terms: 14 + -27.5 = -13.5 -13.5 + 10x + -22x = 0 Combine like terms: 10x + -22x = -12x -13.5 + -12x = 0 Solving -13.5 + -12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13.5' to each side of the equation. -13.5 + 13.5 + -12x = 0 + 13.5 Combine like terms: -13.5 + 13.5 = 0.0 0.0 + -12x = 0 + 13.5 -12x = 0 + 13.5 Combine like terms: 0 + 13.5 = 13.5 -12x = 13.5 Divide each side by '-12'. x = -1.125 Simplifying x = -1.125
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