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Simplifying 7(x + 3) + 5(x + 3) = 6x + -6 Reorder the terms: 7(3 + x) + 5(x + 3) = 6x + -6 (3 * 7 + x * 7) + 5(x + 3) = 6x + -6 (21 + 7x) + 5(x + 3) = 6x + -6 Reorder the terms: 21 + 7x + 5(3 + x) = 6x + -6 21 + 7x + (3 * 5 + x * 5) = 6x + -6 21 + 7x + (15 + 5x) = 6x + -6 Reorder the terms: 21 + 15 + 7x + 5x = 6x + -6 Combine like terms: 21 + 15 = 36 36 + 7x + 5x = 6x + -6 Combine like terms: 7x + 5x = 12x 36 + 12x = 6x + -6 Reorder the terms: 36 + 12x = -6 + 6x Solving 36 + 12x = -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. 36 + 12x + -6x = -6 + 6x + -6x Combine like terms: 12x + -6x = 6x 36 + 6x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 36 + 6x = -6 + 0 36 + 6x = -6 Add '-36' to each side of the equation. 36 + -36 + 6x = -6 + -36 Combine like terms: 36 + -36 = 0 0 + 6x = -6 + -36 6x = -6 + -36 Combine like terms: -6 + -36 = -42 6x = -42 Divide each side by '6'. x = -7 Simplifying x = -7
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