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Simplifying 10x + 12 = 4x + 114 Reorder the terms: 12 + 10x = 4x + 114 Reorder the terms: 12 + 10x = 114 + 4x Solving 12 + 10x = 114 + 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. 12 + 10x + -4x = 114 + 4x + -4x Combine like terms: 10x + -4x = 6x 12 + 6x = 114 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 6x = 114 + 0 12 + 6x = 114 Add '-12' to each side of the equation. 12 + -12 + 6x = 114 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 114 + -12 6x = 114 + -12 Combine like terms: 114 + -12 = 102 6x = 102 Divide each side by '6'. x = 17 Simplifying x = 17
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