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Simplifying 5x + 6 = -69 + 10x Reorder the terms: 6 + 5x = -69 + 10x Solving 6 + 5x = -69 + 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 = -69 + 10x + -10x Combine like terms: 5x + -10x = -5x 6 + -5x = -69 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + -5x = -69 + 0 6 + -5x = -69 Add '-6' to each side of the equation. 6 + -6 + -5x = -69 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = -69 + -6 -5x = -69 + -6 Combine like terms: -69 + -6 = -75 -5x = -75 Divide each side by '-5'. x = 15 Simplifying x = 15
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