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Simplifying 5.5(x + 6) = 2.5x + 36 Reorder the terms: 5.5(6 + x) = 2.5x + 36 (6 * 5.5 + x * 5.5) = 2.5x + 36 (33 + 5.5x) = 2.5x + 36 Reorder the terms: 33 + 5.5x = 36 + 2.5x Solving 33 + 5.5x = 36 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 33 + 5.5x + -2.5x = 36 + 2.5x + -2.5x Combine like terms: 5.5x + -2.5x = 3x 33 + 3x = 36 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 33 + 3x = 36 + 0.0 33 + 3x = 36 Add '-33' to each side of the equation. 33 + -33 + 3x = 36 + -33 Combine like terms: 33 + -33 = 0 0 + 3x = 36 + -33 3x = 36 + -33 Combine like terms: 36 + -33 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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