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Simplifying (-4x + 17) + (0.25x + 12) = 0 Reorder the terms: (17 + -4x) + (0.25x + 12) = 0 Remove parenthesis around (17 + -4x) 17 + -4x + (0.25x + 12) = 0 Reorder the terms: 17 + -4x + (12 + 0.25x) = 0 Remove parenthesis around (12 + 0.25x) 17 + -4x + 12 + 0.25x = 0 Reorder the terms: 17 + 12 + -4x + 0.25x = 0 Combine like terms: 17 + 12 = 29 29 + -4x + 0.25x = 0 Combine like terms: -4x + 0.25x = -3.75x 29 + -3.75x = 0 Solving 29 + -3.75x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -3.75x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -3.75x = 0 + -29 -3.75x = 0 + -29 Combine like terms: 0 + -29 = -29 -3.75x = -29 Divide each side by '-3.75'. x = 7.733333333 Simplifying x = 7.733333333
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