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Simplifying 12.88 + -0.88(x + 0.5) = 0.25x + 2(2x + -3.17) Reorder the terms: 12.88 + -0.88(0.5 + x) = 0.25x + 2(2x + -3.17) 12.88 + (0.5 * -0.88 + x * -0.88) = 0.25x + 2(2x + -3.17) 12.88 + (-0.44 + -0.88x) = 0.25x + 2(2x + -3.17) Combine like terms: 12.88 + -0.44 = 12.44 12.44 + -0.88x = 0.25x + 2(2x + -3.17) Reorder the terms: 12.44 + -0.88x = 0.25x + 2(-3.17 + 2x) 12.44 + -0.88x = 0.25x + (-3.17 * 2 + 2x * 2) 12.44 + -0.88x = 0.25x + (-6.34 + 4x) Reorder the terms: 12.44 + -0.88x = -6.34 + 0.25x + 4x Combine like terms: 0.25x + 4x = 4.25x 12.44 + -0.88x = -6.34 + 4.25x Solving 12.44 + -0.88x = -6.34 + 4.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.25x' to each side of the equation. 12.44 + -0.88x + -4.25x = -6.34 + 4.25x + -4.25x Combine like terms: -0.88x + -4.25x = -5.13x 12.44 + -5.13x = -6.34 + 4.25x + -4.25x Combine like terms: 4.25x + -4.25x = 0.00 12.44 + -5.13x = -6.34 + 0.00 12.44 + -5.13x = -6.34 Add '-12.44' to each side of the equation. 12.44 + -12.44 + -5.13x = -6.34 + -12.44 Combine like terms: 12.44 + -12.44 = 0.00 0.00 + -5.13x = -6.34 + -12.44 -5.13x = -6.34 + -12.44 Combine like terms: -6.34 + -12.44 = -18.78 -5.13x = -18.78 Divide each side by '-5.13'. x = 3.660818713 Simplifying x = 3.660818713
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