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Simplifying 4x + 6 = 78 + -4x Reorder the terms: 6 + 4x = 78 + -4x Solving 6 + 4x = 78 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 6 + 4x + 4x = 78 + -4x + 4x Combine like terms: 4x + 4x = 8x 6 + 8x = 78 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 8x = 78 + 0 6 + 8x = 78 Add '-6' to each side of the equation. 6 + -6 + 8x = 78 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = 78 + -6 8x = 78 + -6 Combine like terms: 78 + -6 = 72 8x = 72 Divide each side by '8'. x = 9 Simplifying x = 9
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