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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 = -5 13 + -5x = -5 + 1.25x + 1.75x Combine like terms: 1.25x + 1.75x = 3x 13 + -5x = -5 + 3x Solving 13 + -5x = -5 + 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. 13 + -5x + -3x = -5 + 3x + -3x Combine like terms: -5x + -3x = -8x 13 + -8x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + -8x = -5 + 0 13 + -8x = -5 Add '-13' to each side of the equation. 13 + -13 + -8x = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -8x = -5 + -13 -8x = -5 + -13 Combine like terms: -5 + -13 = -18 -8x = -18 Divide each side by '-8'. x = 2.25 Simplifying x = 2.25
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