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Simplifying 2(3x + 6) = 7x + -8 Reorder the terms: 2(6 + 3x) = 7x + -8 (6 * 2 + 3x * 2) = 7x + -8 (12 + 6x) = 7x + -8 Reorder the terms: 12 + 6x = -8 + 7x Solving 12 + 6x = -8 + 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. 12 + 6x + -7x = -8 + 7x + -7x Combine like terms: 6x + -7x = -1x 12 + -1x = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -1x = -8 + 0 12 + -1x = -8 Add '-12' to each side of the equation. 12 + -12 + -1x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = -8 + -12 -1x = -8 + -12 Combine like terms: -8 + -12 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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