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Simplifying 2.5(4 + 7x) + 3 = 5.5x + -17 (4 * 2.5 + 7x * 2.5) + 3 = 5.5x + -17 (10 + 17.5x) + 3 = 5.5x + -17 Reorder the terms: 10 + 3 + 17.5x = 5.5x + -17 Combine like terms: 10 + 3 = 13 13 + 17.5x = 5.5x + -17 Reorder the terms: 13 + 17.5x = -17 + 5.5x Solving 13 + 17.5x = -17 + 5.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.5x' to each side of the equation. 13 + 17.5x + -5.5x = -17 + 5.5x + -5.5x Combine like terms: 17.5x + -5.5x = 12x 13 + 12x = -17 + 5.5x + -5.5x Combine like terms: 5.5x + -5.5x = 0.0 13 + 12x = -17 + 0.0 13 + 12x = -17 Add '-13' to each side of the equation. 13 + -13 + 12x = -17 + -13 Combine like terms: 13 + -13 = 0 0 + 12x = -17 + -13 12x = -17 + -13 Combine like terms: -17 + -13 = -30 12x = -30 Divide each side by '12'. x = -2.5 Simplifying x = -2.5
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