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Simplifying 7(x + 1) + -3 = -6 + 6x Reorder the terms: 7(1 + x) + -3 = -6 + 6x (1 * 7 + x * 7) + -3 = -6 + 6x (7 + 7x) + -3 = -6 + 6x Reorder the terms: 7 + -3 + 7x = -6 + 6x Combine like terms: 7 + -3 = 4 4 + 7x = -6 + 6x Solving 4 + 7x = -6 + 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 = -6 + 6x + -6x Combine like terms: 7x + -6x = 1x 4 + 1x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + 1x = -6 + 0 4 + 1x = -6 Add '-4' to each side of the equation. 4 + -4 + 1x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = -6 + -4 1x = -6 + -4 Combine like terms: -6 + -4 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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