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Simplifying 5x + 6 = -114 + -10x Reorder the terms: 6 + 5x = -114 + -10x Solving 6 + 5x = -114 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 6 + 5x + 10x = -114 + -10x + 10x Combine like terms: 5x + 10x = 15x 6 + 15x = -114 + -10x + 10x Combine like terms: -10x + 10x = 0 6 + 15x = -114 + 0 6 + 15x = -114 Add '-6' to each side of the equation. 6 + -6 + 15x = -114 + -6 Combine like terms: 6 + -6 = 0 0 + 15x = -114 + -6 15x = -114 + -6 Combine like terms: -114 + -6 = -120 15x = -120 Divide each side by '15'. x = -8 Simplifying x = -8
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