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Simplifying 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 = 13.32 13.32 + 0.88x = 0.25x + 2(x + -3.17) Reorder the terms: 13.32 + 0.88x = 0.25x + 2(-3.17 + x) 13.32 + 0.88x = 0.25x + (-3.17 * 2 + x * 2) 13.32 + 0.88x = 0.25x + (-6.34 + 2x) Reorder the terms: 13.32 + 0.88x = -6.34 + 0.25x + 2x Combine like terms: 0.25x + 2x = 2.25x 13.32 + 0.88x = -6.34 + 2.25x Solving 13.32 + 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. 13.32 + 0.88x + -2.25x = -6.34 + 2.25x + -2.25x Combine like terms: 0.88x + -2.25x = -1.37x 13.32 + -1.37x = -6.34 + 2.25x + -2.25x Combine like terms: 2.25x + -2.25x = 0.00 13.32 + -1.37x = -6.34 + 0.00 13.32 + -1.37x = -6.34 Add '-13.32' to each side of the equation. 13.32 + -13.32 + -1.37x = -6.34 + -13.32 Combine like terms: 13.32 + -13.32 = 0.00 0.00 + -1.37x = -6.34 + -13.32 -1.37x = -6.34 + -13.32 Combine like terms: -6.34 + -13.32 = -19.66 -1.37x = -19.66 Divide each side by '-1.37'. x = 14.35036496 Simplifying x = 14.35036496
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