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Simplifying 7(x + 3) + 2(x + 3) = 5x + -5 Reorder the terms: 7(3 + x) + 2(x + 3) = 5x + -5 (3 * 7 + x * 7) + 2(x + 3) = 5x + -5 (21 + 7x) + 2(x + 3) = 5x + -5 Reorder the terms: 21 + 7x + 2(3 + x) = 5x + -5 21 + 7x + (3 * 2 + x * 2) = 5x + -5 21 + 7x + (6 + 2x) = 5x + -5 Reorder the terms: 21 + 6 + 7x + 2x = 5x + -5 Combine like terms: 21 + 6 = 27 27 + 7x + 2x = 5x + -5 Combine like terms: 7x + 2x = 9x 27 + 9x = 5x + -5 Reorder the terms: 27 + 9x = -5 + 5x Solving 27 + 9x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 27 + 9x + -5x = -5 + 5x + -5x Combine like terms: 9x + -5x = 4x 27 + 4x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 27 + 4x = -5 + 0 27 + 4x = -5 Add '-27' to each side of the equation. 27 + -27 + 4x = -5 + -27 Combine like terms: 27 + -27 = 0 0 + 4x = -5 + -27 4x = -5 + -27 Combine like terms: -5 + -27 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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