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Simplifying 7x + 2 = 6(x + -1) + 3 Reorder the terms: 2 + 7x = 6(x + -1) + 3 Reorder the terms: 2 + 7x = 6(-1 + x) + 3 2 + 7x = (-1 * 6 + x * 6) + 3 2 + 7x = (-6 + 6x) + 3 Reorder the terms: 2 + 7x = -6 + 3 + 6x Combine like terms: -6 + 3 = -3 2 + 7x = -3 + 6x Solving 2 + 7x = -3 + 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. 2 + 7x + -6x = -3 + 6x + -6x Combine like terms: 7x + -6x = 1x 2 + 1x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + 1x = -3 + 0 2 + 1x = -3 Add '-2' to each side of the equation. 2 + -2 + 1x = -3 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -3 + -2 1x = -3 + -2 Combine like terms: -3 + -2 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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