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Simplifying 1 = 1.3(5x + -9) Reorder the terms: 1 = 1.3(-9 + 5x) 1 = (-9 * 1.3 + 5x * 1.3) 1 = (-11.7 + 6.5x) Solving 1 = -11.7 + 6.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.5x' to each side of the equation. 1 + -6.5x = -11.7 + 6.5x + -6.5x Combine like terms: 6.5x + -6.5x = 0.0 1 + -6.5x = -11.7 + 0.0 1 + -6.5x = -11.7 Add '-1' to each side of the equation. 1 + -1 + -6.5x = -11.7 + -1 Combine like terms: 1 + -1 = 0 0 + -6.5x = -11.7 + -1 -6.5x = -11.7 + -1 Combine like terms: -11.7 + -1 = -12.7 -6.5x = -12.7 Divide each side by '-6.5'. x = 1.953846154 Simplifying x = 1.953846154
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