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Simplifying 0.75x + 17 = 3x + -1 Reorder the terms: 17 + 0.75x = 3x + -1 Reorder the terms: 17 + 0.75x = -1 + 3x Solving 17 + 0.75x = -1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 17 + 0.75x + -3x = -1 + 3x + -3x Combine like terms: 0.75x + -3x = -2.25x 17 + -2.25x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 17 + -2.25x = -1 + 0 17 + -2.25x = -1 Add '-17' to each side of the equation. 17 + -17 + -2.25x = -1 + -17 Combine like terms: 17 + -17 = 0 0 + -2.25x = -1 + -17 -2.25x = -1 + -17 Combine like terms: -1 + -17 = -18 -2.25x = -18 Divide each side by '-2.25'. x = 8 Simplifying x = 8
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