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Simplifying 6x + 6 = 2x + 5x + -12 Reorder the terms: 6 + 6x = 2x + 5x + -12 Reorder the terms: 6 + 6x = -12 + 2x + 5x Combine like terms: 2x + 5x = 7x 6 + 6x = -12 + 7x Solving 6 + 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. 6 + 6x + -7x = -12 + 7x + -7x Combine like terms: 6x + -7x = -1x 6 + -1x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -1x = -12 + 0 6 + -1x = -12 Add '-6' to each side of the equation. 6 + -6 + -1x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -12 + -6 -1x = -12 + -6 Combine like terms: -12 + -6 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18
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