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Simplifying 2.5(4 + -2x) + 3 = -1.25(x + 6) + 1.75x + -12.5 (4 * 2.5 + -2x * 2.5) + 3 = -1.25(x + 6) + 1.75x + -12.5 (10 + -5x) + 3 = -1.25(x + 6) + 1.75x + -12.5 Reorder the terms: 10 + 3 + -5x = -1.25(x + 6) + 1.75x + -12.5 Combine like terms: 10 + 3 = 13 13 + -5x = -1.25(x + 6) + 1.75x + -12.5 Reorder the terms: 13 + -5x = -1.25(6 + x) + 1.75x + -12.5 13 + -5x = (6 * -1.25 + x * -1.25) + 1.75x + -12.5 13 + -5x = (-7.5 + -1.25x) + 1.75x + -12.5 Reorder the terms: 13 + -5x = -7.5 + -12.5 + -1.25x + 1.75x Combine like terms: -7.5 + -12.5 = -20 13 + -5x = -20 + -1.25x + 1.75x Combine like terms: -1.25x + 1.75x = 0.5x 13 + -5x = -20 + 0.5x Solving 13 + -5x = -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. 13 + -5x + -0.5x = -20 + 0.5x + -0.5x Combine like terms: -5x + -0.5x = -5.5x 13 + -5.5x = -20 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 13 + -5.5x = -20 + 0.0 13 + -5.5x = -20 Add '-13' to each side of the equation. 13 + -13 + -5.5x = -20 + -13 Combine like terms: 13 + -13 = 0 0 + -5.5x = -20 + -13 -5.5x = -20 + -13 Combine like terms: -20 + -13 = -33 -5.5x = -33 Divide each side by '-5.5'. x = 6 Simplifying x = 6
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