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Simplifying 6x + 12 = 100 + -2x Reorder the terms: 12 + 6x = 100 + -2x Solving 12 + 6x = 100 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 12 + 6x + 2x = 100 + -2x + 2x Combine like terms: 6x + 2x = 8x 12 + 8x = 100 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 8x = 100 + 0 12 + 8x = 100 Add '-12' to each side of the equation. 12 + -12 + 8x = 100 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = 100 + -12 8x = 100 + -12 Combine like terms: 100 + -12 = 88 8x = 88 Divide each side by '8'. x = 11 Simplifying x = 11
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