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Simplifying 1.4(5 + -1x) = 1.2(3 + -1x) (5 * 1.4 + -1x * 1.4) = 1.2(3 + -1x) (7 + -1.4x) = 1.2(3 + -1x) 7 + -1.4x = (3 * 1.2 + -1x * 1.2) 7 + -1.4x = (3.6 + -1.2x) Solving 7 + -1.4x = 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. 7 + -1.4x + 1.2x = 3.6 + -1.2x + 1.2x Combine like terms: -1.4x + 1.2x = -0.2x 7 + -0.2x = 3.6 + -1.2x + 1.2x Combine like terms: -1.2x + 1.2x = 0.0 7 + -0.2x = 3.6 + 0.0 7 + -0.2x = 3.6 Add '-7' to each side of the equation. 7 + -7 + -0.2x = 3.6 + -7 Combine like terms: 7 + -7 = 0 0 + -0.2x = 3.6 + -7 -0.2x = 3.6 + -7 Combine like terms: 3.6 + -7 = -3.4 -0.2x = -3.4 Divide each side by '-0.2'. x = 17 Simplifying x = 17
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