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Simplifying 12.88 + -0.88(x + 0.45) = 0.25x + 2(x + -3.17) Reorder the terms: 12.88 + -0.88(0.45 + x) = 0.25x + 2(x + -3.17) 12.88 + (0.45 * -0.88 + x * -0.88) = 0.25x + 2(x + -3.17) 12.88 + (-0.396 + -0.88x) = 0.25x + 2(x + -3.17) Combine like terms: 12.88 + -0.396 = 12.484 12.484 + -0.88x = 0.25x + 2(x + -3.17) Reorder the terms: 12.484 + -0.88x = 0.25x + 2(-3.17 + x) 12.484 + -0.88x = 0.25x + (-3.17 * 2 + x * 2) 12.484 + -0.88x = 0.25x + (-6.34 + 2x) Reorder the terms: 12.484 + -0.88x = -6.34 + 0.25x + 2x Combine like terms: 0.25x + 2x = 2.25x 12.484 + -0.88x = -6.34 + 2.25x Solving 12.484 + -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. 12.484 + -0.88x + -2.25x = -6.34 + 2.25x + -2.25x Combine like terms: -0.88x + -2.25x = -3.13x 12.484 + -3.13x = -6.34 + 2.25x + -2.25x Combine like terms: 2.25x + -2.25x = 0.00 12.484 + -3.13x = -6.34 + 0.00 12.484 + -3.13x = -6.34 Add '-12.484' to each side of the equation. 12.484 + -12.484 + -3.13x = -6.34 + -12.484 Combine like terms: 12.484 + -12.484 = 0.000 0.000 + -3.13x = -6.34 + -12.484 -3.13x = -6.34 + -12.484 Combine like terms: -6.34 + -12.484 = -18.824 -3.13x = -18.824 Divide each side by '-3.13'. x = 6.014057508 Simplifying x = 6.014057508
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