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Simplifying 7(x + 3) + 6(x + 3) = 7x + -7 Reorder the terms: 7(3 + x) + 6(x + 3) = 7x + -7 (3 * 7 + x * 7) + 6(x + 3) = 7x + -7 (21 + 7x) + 6(x + 3) = 7x + -7 Reorder the terms: 21 + 7x + 6(3 + x) = 7x + -7 21 + 7x + (3 * 6 + x * 6) = 7x + -7 21 + 7x + (18 + 6x) = 7x + -7 Reorder the terms: 21 + 18 + 7x + 6x = 7x + -7 Combine like terms: 21 + 18 = 39 39 + 7x + 6x = 7x + -7 Combine like terms: 7x + 6x = 13x 39 + 13x = 7x + -7 Reorder the terms: 39 + 13x = -7 + 7x Solving 39 + 13x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 39 + 13x + -7x = -7 + 7x + -7x Combine like terms: 13x + -7x = 6x 39 + 6x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 39 + 6x = -7 + 0 39 + 6x = -7 Add '-39' to each side of the equation. 39 + -39 + 6x = -7 + -39 Combine like terms: 39 + -39 = 0 0 + 6x = -7 + -39 6x = -7 + -39 Combine like terms: -7 + -39 = -46 6x = -46 Divide each side by '6'. x = -7.666666667 Simplifying x = -7.666666667
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