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Simplifying 7x + -7 = 3(2x + 3) + -2 Reorder the terms: -7 + 7x = 3(2x + 3) + -2 Reorder the terms: -7 + 7x = 3(3 + 2x) + -2 -7 + 7x = (3 * 3 + 2x * 3) + -2 -7 + 7x = (9 + 6x) + -2 Reorder the terms: -7 + 7x = 9 + -2 + 6x Combine like terms: 9 + -2 = 7 -7 + 7x = 7 + 6x Solving -7 + 7x = 7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -7 + 7x + -6x = 7 + 6x + -6x Combine like terms: 7x + -6x = 1x -7 + 1x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + 1x = 7 + 0 -7 + 1x = 7 Add '7' to each side of the equation. -7 + 7 + 1x = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 7 + 7 1x = 7 + 7 Combine like terms: 7 + 7 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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