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Simplifying 10x + 12 = 6x + 100 Reorder the terms: 12 + 10x = 6x + 100 Reorder the terms: 12 + 10x = 100 + 6x Solving 12 + 10x = 100 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + 10x + -6x = 100 + 6x + -6x Combine like terms: 10x + -6x = 4x 12 + 4x = 100 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 4x = 100 + 0 12 + 4x = 100 Add '-12' to each side of the equation. 12 + -12 + 4x = 100 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 100 + -12 4x = 100 + -12 Combine like terms: 100 + -12 = 88 4x = 88 Divide each side by '4'. x = 22 Simplifying x = 22
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