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Simplifying 6 = -3(2x + 2) + 7x Reorder the terms: 6 = -3(2 + 2x) + 7x 6 = (2 * -3 + 2x * -3) + 7x 6 = (-6 + -6x) + 7x Combine like terms: -6x + 7x = 1x 6 = -6 + 1x Solving 6 = -6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + -1x = -6 + 1x + -1x Combine like terms: 1x + -1x = 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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