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Simplifying 6x + 18 = 7x + 12 Reorder the terms: 18 + 6x = 7x + 12 Reorder the terms: 18 + 6x = 12 + 7x Solving 18 + 6x = 12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 18 + 6x + -7x = 12 + 7x + -7x Combine like terms: 6x + -7x = -1x 18 + -1x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 18 + -1x = 12 + 0 18 + -1x = 12 Add '-18' to each side of the equation. 18 + -18 + -1x = 12 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 12 + -18 -1x = 12 + -18 Combine like terms: 12 + -18 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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