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Simplifying 12.88 + -0.88(x + 0.5) = 0.25 + 2(x + -3.17) Reorder the terms: 12.88 + -0.88(0.5 + x) = 0.25 + 2(x + -3.17) 12.88 + (0.5 * -0.88 + x * -0.88) = 0.25 + 2(x + -3.17) 12.88 + (-0.44 + -0.88x) = 0.25 + 2(x + -3.17) Combine like terms: 12.88 + -0.44 = 12.44 12.44 + -0.88x = 0.25 + 2(x + -3.17) Reorder the terms: 12.44 + -0.88x = 0.25 + 2(-3.17 + x) 12.44 + -0.88x = 0.25 + (-3.17 * 2 + x * 2) 12.44 + -0.88x = 0.25 + (-6.34 + 2x) Combine like terms: 0.25 + -6.34 = -6.09 12.44 + -0.88x = -6.09 + 2x Solving 12.44 + -0.88x = -6.09 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12.44 + -0.88x + -2x = -6.09 + 2x + -2x Combine like terms: -0.88x + -2x = -2.88x 12.44 + -2.88x = -6.09 + 2x + -2x Combine like terms: 2x + -2x = 0 12.44 + -2.88x = -6.09 + 0 12.44 + -2.88x = -6.09 Add '-12.44' to each side of the equation. 12.44 + -12.44 + -2.88x = -6.09 + -12.44 Combine like terms: 12.44 + -12.44 = 0.00 0.00 + -2.88x = -6.09 + -12.44 -2.88x = -6.09 + -12.44 Combine like terms: -6.09 + -12.44 = -18.53 -2.88x = -18.53 Divide each side by '-2.88'. x = 6.434027778 Simplifying x = 6.434027778
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