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Simplifying 13.95 + 0.08(x + 3) = 14.70 + 0.11x Reorder the terms: 13.95 + 0.08(3 + x) = 14.70 + 0.11x 13.95 + (3 * 0.08 + x * 0.08) = 14.70 + 0.11x 13.95 + (0.24 + 0.08x) = 14.70 + 0.11x Combine like terms: 13.95 + 0.24 = 14.19 14.19 + 0.08x = 14.70 + 0.11x Solving 14.19 + 0.08x = 14.70 + 0.11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.11x' to each side of the equation. 14.19 + 0.08x + -0.11x = 14.70 + 0.11x + -0.11x Combine like terms: 0.08x + -0.11x = -0.03x 14.19 + -0.03x = 14.70 + 0.11x + -0.11x Combine like terms: 0.11x + -0.11x = 0.00 14.19 + -0.03x = 14.70 + 0.00 14.19 + -0.03x = 14.70 Add '-14.19' to each side of the equation. 14.19 + -14.19 + -0.03x = 14.70 + -14.19 Combine like terms: 14.19 + -14.19 = 0.00 0.00 + -0.03x = 14.70 + -14.19 -0.03x = 14.70 + -14.19 Combine like terms: 14.70 + -14.19 = 0.51 -0.03x = 0.51 Divide each side by '-0.03'. x = -17 Simplifying x = -17
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