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Simplifying 7x + -6 = 2(3x + 4) Reorder the terms: -6 + 7x = 2(3x + 4) Reorder the terms: -6 + 7x = 2(4 + 3x) -6 + 7x = (4 * 2 + 3x * 2) -6 + 7x = (8 + 6x) Solving -6 + 7x = 8 + 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. -6 + 7x + -6x = 8 + 6x + -6x Combine like terms: 7x + -6x = 1x -6 + 1x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 1x = 8 + 0 -6 + 1x = 8 Add '6' to each side of the equation. -6 + 6 + 1x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 8 + 6 1x = 8 + 6 Combine like terms: 8 + 6 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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