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Simplifying 4.5(4x + -2) = 32x + 15 Reorder the terms: 4.5(-2 + 4x) = 32x + 15 (-2 * 4.5 + 4x * 4.5) = 32x + 15 (-9 + 18x) = 32x + 15 Reorder the terms: -9 + 18x = 15 + 32x Solving -9 + 18x = 15 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -9 + 18x + -32x = 15 + 32x + -32x Combine like terms: 18x + -32x = -14x -9 + -14x = 15 + 32x + -32x Combine like terms: 32x + -32x = 0 -9 + -14x = 15 + 0 -9 + -14x = 15 Add '9' to each side of the equation. -9 + 9 + -14x = 15 + 9 Combine like terms: -9 + 9 = 0 0 + -14x = 15 + 9 -14x = 15 + 9 Combine like terms: 15 + 9 = 24 -14x = 24 Divide each side by '-14'. x = -1.714285714 Simplifying x = -1.714285714
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