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Simplifying 1.9(6 + -1x) = 1.7(4 + -1x) (6 * 1.9 + -1x * 1.9) = 1.7(4 + -1x) (11.4 + -1.9x) = 1.7(4 + -1x) 11.4 + -1.9x = (4 * 1.7 + -1x * 1.7) 11.4 + -1.9x = (6.8 + -1.7x) Solving 11.4 + -1.9x = 6.8 + -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. 11.4 + -1.9x + 1.7x = 6.8 + -1.7x + 1.7x Combine like terms: -1.9x + 1.7x = -0.2x 11.4 + -0.2x = 6.8 + -1.7x + 1.7x Combine like terms: -1.7x + 1.7x = 0.0 11.4 + -0.2x = 6.8 + 0.0 11.4 + -0.2x = 6.8 Add '-11.4' to each side of the equation. 11.4 + -11.4 + -0.2x = 6.8 + -11.4 Combine like terms: 11.4 + -11.4 = 0.0 0.0 + -0.2x = 6.8 + -11.4 -0.2x = 6.8 + -11.4 Combine like terms: 6.8 + -11.4 = -4.6 -0.2x = -4.6 Divide each side by '-0.2'. x = 23 Simplifying x = 23
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