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Simplifying 3(2x + 2) = 7x + -4 Reorder the terms: 3(2 + 2x) = 7x + -4 (2 * 3 + 2x * 3) = 7x + -4 (6 + 6x) = 7x + -4 Reorder the terms: 6 + 6x = -4 + 7x Solving 6 + 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. 6 + 6x + -7x = -4 + 7x + -7x Combine like terms: 6x + -7x = -1x 6 + -1x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -1x = -4 + 0 6 + -1x = -4 Add '-6' to each side of the equation. 6 + -6 + -1x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -4 + -6 -1x = -4 + -6 Combine like terms: -4 + -6 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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