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Simplifying 9x + 2 = 0.75(2x + 11) Reorder the terms: 2 + 9x = 0.75(2x + 11) Reorder the terms: 2 + 9x = 0.75(11 + 2x) 2 + 9x = (11 * 0.75 + 2x * 0.75) 2 + 9x = (8.25 + 1.5x) Solving 2 + 9x = 8.25 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 2 + 9x + -1.5x = 8.25 + 1.5x + -1.5x Combine like terms: 9x + -1.5x = 7.5x 2 + 7.5x = 8.25 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 2 + 7.5x = 8.25 + 0.0 2 + 7.5x = 8.25 Add '-2' to each side of the equation. 2 + -2 + 7.5x = 8.25 + -2 Combine like terms: 2 + -2 = 0 0 + 7.5x = 8.25 + -2 7.5x = 8.25 + -2 Combine like terms: 8.25 + -2 = 6.25 7.5x = 6.25 Divide each side by '7.5'. x = 0.8333333333 Simplifying x = 0.8333333333
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