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Simplifying 4x + 6 = -78 + 10x Reorder the terms: 6 + 4x = -78 + 10x Solving 6 + 4x = -78 + 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 + 4x + -10x = -78 + 10x + -10x Combine like terms: 4x + -10x = -6x 6 + -6x = -78 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + -6x = -78 + 0 6 + -6x = -78 Add '-6' to each side of the equation. 6 + -6 + -6x = -78 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = -78 + -6 -6x = -78 + -6 Combine like terms: -78 + -6 = -84 -6x = -84 Divide each side by '-6'. x = 14 Simplifying x = 14
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