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Simplifying 5x + 15 + -12x = 24 + 14x Reorder the terms: 15 + 5x + -12x = 24 + 14x Combine like terms: 5x + -12x = -7x 15 + -7x = 24 + 14x Solving 15 + -7x = 24 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 15 + -7x + -14x = 24 + 14x + -14x Combine like terms: -7x + -14x = -21x 15 + -21x = 24 + 14x + -14x Combine like terms: 14x + -14x = 0 15 + -21x = 24 + 0 15 + -21x = 24 Add '-15' to each side of the equation. 15 + -15 + -21x = 24 + -15 Combine like terms: 15 + -15 = 0 0 + -21x = 24 + -15 -21x = 24 + -15 Combine like terms: 24 + -15 = 9 -21x = 9 Divide each side by '-21'. x = -0.4285714286 Simplifying x = -0.4285714286
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