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Simplifying x + 3.2(15) = 5.5(x + 15) Multiply 3.2 * 15 x + 48 = 5.5(x + 15) Reorder the terms: 48 + x = 5.5(x + 15) Reorder the terms: 48 + x = 5.5(15 + x) 48 + x = (15 * 5.5 + x * 5.5) 48 + x = (82.5 + 5.5x) Solving 48 + x = 82.5 + 5.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.5x' to each side of the equation. 48 + x + -5.5x = 82.5 + 5.5x + -5.5x Combine like terms: x + -5.5x = -4.5x 48 + -4.5x = 82.5 + 5.5x + -5.5x Combine like terms: 5.5x + -5.5x = 0.0 48 + -4.5x = 82.5 + 0.0 48 + -4.5x = 82.5 Add '-48' to each side of the equation. 48 + -48 + -4.5x = 82.5 + -48 Combine like terms: 48 + -48 = 0 0 + -4.5x = 82.5 + -48 -4.5x = 82.5 + -48 Combine like terms: 82.5 + -48 = 34.5 -4.5x = 34.5 Divide each side by '-4.5'. x = -7.666666667 Simplifying x = -7.666666667
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