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Simplifying 5.5x + 2(x + -2) = 1.5(x + 4) + 9 Reorder the terms: 5.5x + 2(-2 + x) = 1.5(x + 4) + 9 5.5x + (-2 * 2 + x * 2) = 1.5(x + 4) + 9 5.5x + (-4 + 2x) = 1.5(x + 4) + 9 Reorder the terms: -4 + 5.5x + 2x = 1.5(x + 4) + 9 Combine like terms: 5.5x + 2x = 7.5x -4 + 7.5x = 1.5(x + 4) + 9 Reorder the terms: -4 + 7.5x = 1.5(4 + x) + 9 -4 + 7.5x = (4 * 1.5 + x * 1.5) + 9 -4 + 7.5x = (6 + 1.5x) + 9 Reorder the terms: -4 + 7.5x = 6 + 9 + 1.5x Combine like terms: 6 + 9 = 15 -4 + 7.5x = 15 + 1.5x Solving -4 + 7.5x = 15 + 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. -4 + 7.5x + -1.5x = 15 + 1.5x + -1.5x Combine like terms: 7.5x + -1.5x = 6x -4 + 6x = 15 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -4 + 6x = 15 + 0.0 -4 + 6x = 15 Add '4' to each side of the equation. -4 + 4 + 6x = 15 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 15 + 4 6x = 15 + 4 Combine like terms: 15 + 4 = 19 6x = 19 Divide each side by '6'. x = 3.166666667 Simplifying x = 3.166666667
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