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Simplifying 6x + 15 = 14x + -27 Reorder the terms: 15 + 6x = 14x + -27 Reorder the terms: 15 + 6x = -27 + 14x Solving 15 + 6x = -27 + 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 + 6x + -14x = -27 + 14x + -14x Combine like terms: 6x + -14x = -8x 15 + -8x = -27 + 14x + -14x Combine like terms: 14x + -14x = 0 15 + -8x = -27 + 0 15 + -8x = -27 Add '-15' to each side of the equation. 15 + -15 + -8x = -27 + -15 Combine like terms: 15 + -15 = 0 0 + -8x = -27 + -15 -8x = -27 + -15 Combine like terms: -27 + -15 = -42 -8x = -42 Divide each side by '-8'. x = 5.25 Simplifying x = 5.25
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