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Simplifying 4x + 76 = 9x + 6 + -12x Reorder the terms: 76 + 4x = 9x + 6 + -12x Reorder the terms: 76 + 4x = 6 + 9x + -12x Combine like terms: 9x + -12x = -3x 76 + 4x = 6 + -3x Solving 76 + 4x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 76 + 4x + 3x = 6 + -3x + 3x Combine like terms: 4x + 3x = 7x 76 + 7x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 76 + 7x = 6 + 0 76 + 7x = 6 Add '-76' to each side of the equation. 76 + -76 + 7x = 6 + -76 Combine like terms: 76 + -76 = 0 0 + 7x = 6 + -76 7x = 6 + -76 Combine like terms: 6 + -76 = -70 7x = -70 Divide each side by '7'. x = -10 Simplifying x = -10
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