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