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Simplifying 4x + 78 = 10x + 12 Reorder the terms: 78 + 4x = 10x + 12 Reorder the terms: 78 + 4x = 12 + 10x Solving 78 + 4x = 12 + 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. 78 + 4x + -10x = 12 + 10x + -10x Combine like terms: 4x + -10x = -6x 78 + -6x = 12 + 10x + -10x Combine like terms: 10x + -10x = 0 78 + -6x = 12 + 0 78 + -6x = 12 Add '-78' to each side of the equation. 78 + -78 + -6x = 12 + -78 Combine like terms: 78 + -78 = 0 0 + -6x = 12 + -78 -6x = 12 + -78 Combine like terms: 12 + -78 = -66 -6x = -66 Divide each side by '-6'. x = 11 Simplifying x = 11
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