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Simplifying 1.3(9 + -2x) = x + 1 (9 * 1.3 + -2x * 1.3) = x + 1 (11.7 + -2.6x) = x + 1 Reorder the terms: 11.7 + -2.6x = 1 + x Solving 11.7 + -2.6x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 11.7 + -2.6x + -1x = 1 + x + -1x Combine like terms: -2.6x + -1x = -3.6x 11.7 + -3.6x = 1 + x + -1x Combine like terms: x + -1x = 0 11.7 + -3.6x = 1 + 0 11.7 + -3.6x = 1 Add '-11.7' to each side of the equation. 11.7 + -11.7 + -3.6x = 1 + -11.7 Combine like terms: 11.7 + -11.7 = 0.0 0.0 + -3.6x = 1 + -11.7 -3.6x = 1 + -11.7 Combine like terms: 1 + -11.7 = -10.7 -3.6x = -10.7 Divide each side by '-3.6'. x = 2.972222222 Simplifying x = 2.972222222
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