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Simplifying 15.88 + 0.05(x + 3) = 16.63 + -0.11x Reorder the terms: 15.88 + 0.05(3 + x) = 16.63 + -0.11x 15.88 + (3 * 0.05 + x * 0.05) = 16.63 + -0.11x 15.88 + (0.15 + 0.05x) = 16.63 + -0.11x Combine like terms: 15.88 + 0.15 = 16.03 16.03 + 0.05x = 16.63 + -0.11x Solving 16.03 + 0.05x = 16.63 + -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. 16.03 + 0.05x + 0.11x = 16.63 + -0.11x + 0.11x Combine like terms: 0.05x + 0.11x = 0.16x 16.03 + 0.16x = 16.63 + -0.11x + 0.11x Combine like terms: -0.11x + 0.11x = 0.00 16.03 + 0.16x = 16.63 + 0.00 16.03 + 0.16x = 16.63 Add '-16.03' to each side of the equation. 16.03 + -16.03 + 0.16x = 16.63 + -16.03 Combine like terms: 16.03 + -16.03 = 0.00 0.00 + 0.16x = 16.63 + -16.03 0.16x = 16.63 + -16.03 Combine like terms: 16.63 + -16.03 = 0.6 0.16x = 0.6 Divide each side by '0.16'. x = 3.75 Simplifying x = 3.75
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