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Simplifying ax + -1 + bx + -0.5 + cx + -0.25 = 0 Reorder the terms: -1 + -0.5 + -0.25 + ax + bx + cx = 0 Combine like terms: -1 + -0.5 = -1.5 -1.5 + -0.25 + ax + bx + cx = 0 Combine like terms: -1.5 + -0.25 = -1.75 -1.75 + ax + bx + cx = 0 Solving -1.75 + ax + bx + cx = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.75' to each side of the equation. -1.75 + ax + bx + 1.75 + cx = 0 + 1.75 Reorder the terms: -1.75 + 1.75 + ax + bx + cx = 0 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + ax + bx + cx = 0 + 1.75 ax + bx + cx = 0 + 1.75 Combine like terms: 0 + 1.75 = 1.75 ax + bx + cx = 1.75 Add '-1bx' to each side of the equation. ax + bx + -1bx + cx = 1.75 + -1bx Combine like terms: bx + -1bx = 0 ax + 0 + cx = 1.75 + -1bx ax + cx = 1.75 + -1bx Add '-1cx' to each side of the equation. ax + cx + -1cx = 1.75 + -1bx + -1cx Combine like terms: cx + -1cx = 0 ax + 0 = 1.75 + -1bx + -1cx ax = 1.75 + -1bx + -1cx Divide each side by 'x'. a = 1.75x-1 + -1b + -1c Simplifying a = 1.75x-1 + -1b + -1c Reorder the terms: a = -1b + -1c + 1.75x-1
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