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Simplifying (2x + -8) + -0.5(9 + -4x) + 2.5 = 0 Reorder the terms: (-8 + 2x) + -0.5(9 + -4x) + 2.5 = 0 Remove parenthesis around (-8 + 2x) -8 + 2x + -0.5(9 + -4x) + 2.5 = 0 -8 + 2x + (9 * -0.5 + -4x * -0.5) + 2.5 = 0 -8 + 2x + (-4.5 + 2x) + 2.5 = 0 Reorder the terms: -8 + -4.5 + 2.5 + 2x + 2x = 0 Combine like terms: -8 + -4.5 = -12.5 -12.5 + 2.5 + 2x + 2x = 0 Combine like terms: -12.5 + 2.5 = -10 -10 + 2x + 2x = 0 Combine like terms: 2x + 2x = 4x -10 + 4x = 0 Solving -10 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 4x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 0 + 10 4x = 0 + 10 Combine like terms: 0 + 10 = 10 4x = 10 Divide each side by '4'. x = 2.5 Simplifying x = 2.5
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