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Simplifying 4.5x + -14 = 6x + 15 Reorder the terms: -14 + 4.5x = 6x + 15 Reorder the terms: -14 + 4.5x = 15 + 6x Solving -14 + 4.5x = 15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -14 + 4.5x + -6x = 15 + 6x + -6x Combine like terms: 4.5x + -6x = -1.5x -14 + -1.5x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + -1.5x = 15 + 0 -14 + -1.5x = 15 Add '14' to each side of the equation. -14 + 14 + -1.5x = 15 + 14 Combine like terms: -14 + 14 = 0 0 + -1.5x = 15 + 14 -1.5x = 15 + 14 Combine like terms: 15 + 14 = 29 -1.5x = 29 Divide each side by '-1.5'. x = -19.33333333 Simplifying x = -19.33333333
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