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