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Simplifying 4x + 6 = -5x + -102 Reorder the terms: 6 + 4x = -5x + -102 Reorder the terms: 6 + 4x = -102 + -5x Solving 6 + 4x = -102 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 6 + 4x + 5x = -102 + -5x + 5x Combine like terms: 4x + 5x = 9x 6 + 9x = -102 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 9x = -102 + 0 6 + 9x = -102 Add '-6' to each side of the equation. 6 + -6 + 9x = -102 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = -102 + -6 9x = -102 + -6 Combine like terms: -102 + -6 = -108 9x = -108 Divide each side by '9'. x = -12 Simplifying x = -12
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