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Simplifying 25(4 + -2x) + 3 = -1.25(x + 6) + 1.75x + -12.5 (4 * 25 + -2x * 25) + 3 = -1.25(x + 6) + 1.75x + -12.5 (100 + -50x) + 3 = -1.25(x + 6) + 1.75x + -12.5 Reorder the terms: 100 + 3 + -50x = -1.25(x + 6) + 1.75x + -12.5 Combine like terms: 100 + 3 = 103 103 + -50x = -1.25(x + 6) + 1.75x + -12.5 Reorder the terms: 103 + -50x = -1.25(6 + x) + 1.75x + -12.5 103 + -50x = (6 * -1.25 + x * -1.25) + 1.75x + -12.5 103 + -50x = (-7.5 + -1.25x) + 1.75x + -12.5 Reorder the terms: 103 + -50x = -7.5 + -12.5 + -1.25x + 1.75x Combine like terms: -7.5 + -12.5 = -20 103 + -50x = -20 + -1.25x + 1.75x Combine like terms: -1.25x + 1.75x = 0.5x 103 + -50x = -20 + 0.5x Solving 103 + -50x = -20 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 103 + -50x + -0.5x = -20 + 0.5x + -0.5x Combine like terms: -50x + -0.5x = -50.5x 103 + -50.5x = -20 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 103 + -50.5x = -20 + 0.0 103 + -50.5x = -20 Add '-103' to each side of the equation. 103 + -103 + -50.5x = -20 + -103 Combine like terms: 103 + -103 = 0 0 + -50.5x = -20 + -103 -50.5x = -20 + -103 Combine like terms: -20 + -103 = -123 -50.5x = -123 Divide each side by '-50.5'. x = 2.435643564 Simplifying x = 2.435643564
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