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Simplifying 3(2x + 2) + -12 = 7x + 6 Reorder the terms: 3(2 + 2x) + -12 = 7x + 6 (2 * 3 + 2x * 3) + -12 = 7x + 6 (6 + 6x) + -12 = 7x + 6 Reorder the terms: 6 + -12 + 6x = 7x + 6 Combine like terms: 6 + -12 = -6 -6 + 6x = 7x + 6 Reorder the terms: -6 + 6x = 6 + 7x Solving -6 + 6x = 6 + 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 = 6 + 7x + -7x Combine like terms: 6x + -7x = -1x -6 + -1x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -1x = 6 + 0 -6 + -1x = 6 Add '6' to each side of the equation. -6 + 6 + -1x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 6 + 6 -1x = 6 + 6 Combine like terms: 6 + 6 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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