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Simplifying 7(x + 3) + 7x + -1 = x + -6 Reorder the terms: 7(3 + x) + 7x + -1 = x + -6 (3 * 7 + x * 7) + 7x + -1 = x + -6 (21 + 7x) + 7x + -1 = x + -6 Reorder the terms: 21 + -1 + 7x + 7x = x + -6 Combine like terms: 21 + -1 = 20 20 + 7x + 7x = x + -6 Combine like terms: 7x + 7x = 14x 20 + 14x = x + -6 Reorder the terms: 20 + 14x = -6 + x Solving 20 + 14x = -6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 20 + 14x + -1x = -6 + x + -1x Combine like terms: 14x + -1x = 13x 20 + 13x = -6 + x + -1x Combine like terms: x + -1x = 0 20 + 13x = -6 + 0 20 + 13x = -6 Add '-20' to each side of the equation. 20 + -20 + 13x = -6 + -20 Combine like terms: 20 + -20 = 0 0 + 13x = -6 + -20 13x = -6 + -20 Combine like terms: -6 + -20 = -26 13x = -26 Divide each side by '13'. x = -2 Simplifying x = -2
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