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Simplifying (3x + 0.5) + (-7x + -4.5) = 0 Reorder the terms: (0.5 + 3x) + (-7x + -4.5) = 0 Remove parenthesis around (0.5 + 3x) 0.5 + 3x + (-7x + -4.5) = 0 Reorder the terms: 0.5 + 3x + (-4.5 + -7x) = 0 Remove parenthesis around (-4.5 + -7x) 0.5 + 3x + -4.5 + -7x = 0 Reorder the terms: 0.5 + -4.5 + 3x + -7x = 0 Combine like terms: 0.5 + -4.5 = -4 -4 + 3x + -7x = 0 Combine like terms: 3x + -7x = -4x -4 + -4x = 0 Solving -4 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -4x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = 0 + 4 -4x = 0 + 4 Combine like terms: 0 + 4 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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