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Simplifying 12.88 + -0.88(x + 0.5) = 0.25x + 2(x + 3.17) Reorder the terms: 12.88 + -0.88(0.5 + x) = 0.25x + 2(x + 3.17) 12.88 + (0.5 * -0.88 + x * -0.88) = 0.25x + 2(x + 3.17) 12.88 + (-0.44 + -0.88x) = 0.25x + 2(x + 3.17) Combine like terms: 12.88 + -0.44 = 12.44 12.44 + -0.88x = 0.25x + 2(x + 3.17) Reorder the terms: 12.44 + -0.88x = 0.25x + 2(3.17 + x) 12.44 + -0.88x = 0.25x + (3.17 * 2 + x * 2) 12.44 + -0.88x = 0.25x + (6.34 + 2x) Reorder the terms: 12.44 + -0.88x = 6.34 + 0.25x + 2x Combine like terms: 0.25x + 2x = 2.25x 12.44 + -0.88x = 6.34 + 2.25x Solving 12.44 + -0.88x = 6.34 + 2.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.25x' to each side of the equation. 12.44 + -0.88x + -2.25x = 6.34 + 2.25x + -2.25x Combine like terms: -0.88x + -2.25x = -3.13x 12.44 + -3.13x = 6.34 + 2.25x + -2.25x Combine like terms: 2.25x + -2.25x = 0.00 12.44 + -3.13x = 6.34 + 0.00 12.44 + -3.13x = 6.34 Add '-12.44' to each side of the equation. 12.44 + -12.44 + -3.13x = 6.34 + -12.44 Combine like terms: 12.44 + -12.44 = 0.00 0.00 + -3.13x = 6.34 + -12.44 -3.13x = 6.34 + -12.44 Combine like terms: 6.34 + -12.44 = -6.1 -3.13x = -6.1 Divide each side by '-3.13'. x = 1.948881789 Simplifying x = 1.948881789
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