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Simplifying 2.5(6x + -7) + 1.3(2 + 9x) = 0 Reorder the terms: 2.5(-7 + 6x) + 1.3(2 + 9x) = 0 (-7 * 2.5 + 6x * 2.5) + 1.3(2 + 9x) = 0 (-17.5 + 15x) + 1.3(2 + 9x) = 0 -17.5 + 15x + (2 * 1.3 + 9x * 1.3) = 0 -17.5 + 15x + (2.6 + 11.7x) = 0 Reorder the terms: -17.5 + 2.6 + 15x + 11.7x = 0 Combine like terms: -17.5 + 2.6 = -14.9 -14.9 + 15x + 11.7x = 0 Combine like terms: 15x + 11.7x = 26.7x -14.9 + 26.7x = 0 Solving -14.9 + 26.7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14.9' to each side of the equation. -14.9 + 14.9 + 26.7x = 0 + 14.9 Combine like terms: -14.9 + 14.9 = 0.0 0.0 + 26.7x = 0 + 14.9 26.7x = 0 + 14.9 Combine like terms: 0 + 14.9 = 14.9 26.7x = 14.9 Divide each side by '26.7'. x = 0.5580524345 Simplifying x = 0.5580524345
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