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Simplifying 1.14(5 + -1x) = 1.2(3 + -1x) (5 * 1.14 + -1x * 1.14) = 1.2(3 + -1x) (5.7 + -1.14x) = 1.2(3 + -1x) 5.7 + -1.14x = (3 * 1.2 + -1x * 1.2) 5.7 + -1.14x = (3.6 + -1.2x) Solving 5.7 + -1.14x = 3.6 + -1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.2x' to each side of the equation. 5.7 + -1.14x + 1.2x = 3.6 + -1.2x + 1.2x Combine like terms: -1.14x + 1.2x = 0.06x 5.7 + 0.06x = 3.6 + -1.2x + 1.2x Combine like terms: -1.2x + 1.2x = 0.0 5.7 + 0.06x = 3.6 + 0.0 5.7 + 0.06x = 3.6 Add '-5.7' to each side of the equation. 5.7 + -5.7 + 0.06x = 3.6 + -5.7 Combine like terms: 5.7 + -5.7 = 0.0 0.0 + 0.06x = 3.6 + -5.7 0.06x = 3.6 + -5.7 Combine like terms: 3.6 + -5.7 = -2.1 0.06x = -2.1 Divide each side by '0.06'. x = -35 Simplifying x = -35
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