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Simplifying 1.9(5 + -1x) = 1.7(3 + -1x) (5 * 1.9 + -1x * 1.9) = 1.7(3 + -1x) (9.5 + -1.9x) = 1.7(3 + -1x) 9.5 + -1.9x = (3 * 1.7 + -1x * 1.7) 9.5 + -1.9x = (5.1 + -1.7x) Solving 9.5 + -1.9x = 5.1 + -1.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.7x' to each side of the equation. 9.5 + -1.9x + 1.7x = 5.1 + -1.7x + 1.7x Combine like terms: -1.9x + 1.7x = -0.2x 9.5 + -0.2x = 5.1 + -1.7x + 1.7x Combine like terms: -1.7x + 1.7x = 0.0 9.5 + -0.2x = 5.1 + 0.0 9.5 + -0.2x = 5.1 Add '-9.5' to each side of the equation. 9.5 + -9.5 + -0.2x = 5.1 + -9.5 Combine like terms: 9.5 + -9.5 = 0.0 0.0 + -0.2x = 5.1 + -9.5 -0.2x = 5.1 + -9.5 Combine like terms: 5.1 + -9.5 = -4.4 -0.2x = -4.4 Divide each side by '-0.2'. x = 22 Simplifying x = 22
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