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Simplifying 9(10x + 10) = 9(11x + 2) + -5x Reorder the terms: 9(10 + 10x) = 9(11x + 2) + -5x (10 * 9 + 10x * 9) = 9(11x + 2) + -5x (90 + 90x) = 9(11x + 2) + -5x Reorder the terms: 90 + 90x = 9(2 + 11x) + -5x 90 + 90x = (2 * 9 + 11x * 9) + -5x 90 + 90x = (18 + 99x) + -5x Combine like terms: 99x + -5x = 94x 90 + 90x = 18 + 94x Solving 90 + 90x = 18 + 94x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-94x' to each side of the equation. 90 + 90x + -94x = 18 + 94x + -94x Combine like terms: 90x + -94x = -4x 90 + -4x = 18 + 94x + -94x Combine like terms: 94x + -94x = 0 90 + -4x = 18 + 0 90 + -4x = 18 Add '-90' to each side of the equation. 90 + -90 + -4x = 18 + -90 Combine like terms: 90 + -90 = 0 0 + -4x = 18 + -90 -4x = 18 + -90 Combine like terms: 18 + -90 = -72 -4x = -72 Divide each side by '-4'. x = 18 Simplifying x = 18
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