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Simplifying 9(2x + -5) + 5(6x + 1) = 100 Reorder the terms: 9(-5 + 2x) + 5(6x + 1) = 100 (-5 * 9 + 2x * 9) + 5(6x + 1) = 100 (-45 + 18x) + 5(6x + 1) = 100 Reorder the terms: -45 + 18x + 5(1 + 6x) = 100 -45 + 18x + (1 * 5 + 6x * 5) = 100 -45 + 18x + (5 + 30x) = 100 Reorder the terms: -45 + 5 + 18x + 30x = 100 Combine like terms: -45 + 5 = -40 -40 + 18x + 30x = 100 Combine like terms: 18x + 30x = 48x -40 + 48x = 100 Solving -40 + 48x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 48x = 100 + 40 Combine like terms: -40 + 40 = 0 0 + 48x = 100 + 40 48x = 100 + 40 Combine like terms: 100 + 40 = 140 48x = 140 Divide each side by '48'. x = 2.916666667 Simplifying x = 2.916666667
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