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Simplifying 15.65 + 0.06(x + 3) = 16.15 + -0.14x Reorder the terms: 15.65 + 0.06(3 + x) = 16.15 + -0.14x 15.65 + (3 * 0.06 + x * 0.06) = 16.15 + -0.14x 15.65 + (0.18 + 0.06x) = 16.15 + -0.14x Combine like terms: 15.65 + 0.18 = 15.83 15.83 + 0.06x = 16.15 + -0.14x Solving 15.83 + 0.06x = 16.15 + -0.14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.14x' to each side of the equation. 15.83 + 0.06x + 0.14x = 16.15 + -0.14x + 0.14x Combine like terms: 0.06x + 0.14x = 0.2x 15.83 + 0.2x = 16.15 + -0.14x + 0.14x Combine like terms: -0.14x + 0.14x = 0.00 15.83 + 0.2x = 16.15 + 0.00 15.83 + 0.2x = 16.15 Add '-15.83' to each side of the equation. 15.83 + -15.83 + 0.2x = 16.15 + -15.83 Combine like terms: 15.83 + -15.83 = 0.00 0.00 + 0.2x = 16.15 + -15.83 0.2x = 16.15 + -15.83 Combine like terms: 16.15 + -15.83 = 0.32 0.2x = 0.32 Divide each side by '0.2'. x = 1.6 Simplifying x = 1.6
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