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Simplifying 13.43 + 0.11(x + 3) = 13.93 + -0.08x Reorder the terms: 13.43 + 0.11(3 + x) = 13.93 + -0.08x 13.43 + (3 * 0.11 + x * 0.11) = 13.93 + -0.08x 13.43 + (0.33 + 0.11x) = 13.93 + -0.08x Combine like terms: 13.43 + 0.33 = 13.76 13.76 + 0.11x = 13.93 + -0.08x Solving 13.76 + 0.11x = 13.93 + -0.08x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.08x' to each side of the equation. 13.76 + 0.11x + 0.08x = 13.93 + -0.08x + 0.08x Combine like terms: 0.11x + 0.08x = 0.19x 13.76 + 0.19x = 13.93 + -0.08x + 0.08x Combine like terms: -0.08x + 0.08x = 0.00 13.76 + 0.19x = 13.93 + 0.00 13.76 + 0.19x = 13.93 Add '-13.76' to each side of the equation. 13.76 + -13.76 + 0.19x = 13.93 + -13.76 Combine like terms: 13.76 + -13.76 = 0.00 0.00 + 0.19x = 13.93 + -13.76 0.19x = 13.93 + -13.76 Combine like terms: 13.93 + -13.76 = 0.17 0.19x = 0.17 Divide each side by '0.19'. x = 0.8947368421 Simplifying x = 0.8947368421
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