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Simplifying 0.9x + 8.25 = 1.5(2 + 2x) Reorder the terms: 8.25 + 0.9x = 1.5(2 + 2x) 8.25 + 0.9x = (2 * 1.5 + 2x * 1.5) 8.25 + 0.9x = (3 + 3x) Solving 8.25 + 0.9x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8.25 + 0.9x + -3x = 3 + 3x + -3x Combine like terms: 0.9x + -3x = -2.1x 8.25 + -2.1x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 8.25 + -2.1x = 3 + 0 8.25 + -2.1x = 3 Add '-8.25' to each side of the equation. 8.25 + -8.25 + -2.1x = 3 + -8.25 Combine like terms: 8.25 + -8.25 = 0.00 0.00 + -2.1x = 3 + -8.25 -2.1x = 3 + -8.25 Combine like terms: 3 + -8.25 = -5.25 -2.1x = -5.25 Divide each side by '-2.1'. x = 2.5 Simplifying x = 2.5
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