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Simplifying 1.3(6x + -9) = 5x + 2(x + 9) Reorder the terms: 1.3(-9 + 6x) = 5x + 2(x + 9) (-9 * 1.3 + 6x * 1.3) = 5x + 2(x + 9) (-11.7 + 7.8x) = 5x + 2(x + 9) Reorder the terms: -11.7 + 7.8x = 5x + 2(9 + x) -11.7 + 7.8x = 5x + (9 * 2 + x * 2) -11.7 + 7.8x = 5x + (18 + 2x) Reorder the terms: -11.7 + 7.8x = 18 + 5x + 2x Combine like terms: 5x + 2x = 7x -11.7 + 7.8x = 18 + 7x Solving -11.7 + 7.8x = 18 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -11.7 + 7.8x + -7x = 18 + 7x + -7x Combine like terms: 7.8x + -7x = 0.8x -11.7 + 0.8x = 18 + 7x + -7x Combine like terms: 7x + -7x = 0 -11.7 + 0.8x = 18 + 0 -11.7 + 0.8x = 18 Add '11.7' to each side of the equation. -11.7 + 11.7 + 0.8x = 18 + 11.7 Combine like terms: -11.7 + 11.7 = 0.0 0.0 + 0.8x = 18 + 11.7 0.8x = 18 + 11.7 Combine like terms: 18 + 11.7 = 29.7 0.8x = 29.7 Divide each side by '0.8'. x = 37.125 Simplifying x = 37.125
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