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Simplifying 2(3x + 2) = 7x + -4 Reorder the terms: 2(2 + 3x) = 7x + -4 (2 * 2 + 3x * 2) = 7x + -4 (4 + 6x) = 7x + -4 Reorder the terms: 4 + 6x = -4 + 7x Solving 4 + 6x = -4 + 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. 4 + 6x + -7x = -4 + 7x + -7x Combine like terms: 6x + -7x = -1x 4 + -1x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -1x = -4 + 0 4 + -1x = -4 Add '-4' to each side of the equation. 4 + -4 + -1x = -4 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = -4 + -4 -1x = -4 + -4 Combine like terms: -4 + -4 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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