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Simplifying 15.58 + 0.08(x + 3) = 16.08 + -0.09x Reorder the terms: 15.58 + 0.08(3 + x) = 16.08 + -0.09x 15.58 + (3 * 0.08 + x * 0.08) = 16.08 + -0.09x 15.58 + (0.24 + 0.08x) = 16.08 + -0.09x Combine like terms: 15.58 + 0.24 = 15.82 15.82 + 0.08x = 16.08 + -0.09x Solving 15.82 + 0.08x = 16.08 + -0.09x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.09x' to each side of the equation. 15.82 + 0.08x + 0.09x = 16.08 + -0.09x + 0.09x Combine like terms: 0.08x + 0.09x = 0.17x 15.82 + 0.17x = 16.08 + -0.09x + 0.09x Combine like terms: -0.09x + 0.09x = 0.00 15.82 + 0.17x = 16.08 + 0.00 15.82 + 0.17x = 16.08 Add '-15.82' to each side of the equation. 15.82 + -15.82 + 0.17x = 16.08 + -15.82 Combine like terms: 15.82 + -15.82 = 0.00 0.00 + 0.17x = 16.08 + -15.82 0.17x = 16.08 + -15.82 Combine like terms: 16.08 + -15.82 = 0.26 0.17x = 0.26 Divide each side by '0.17'. x = 1.529411765 Simplifying x = 1.529411765
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