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Simplifying 7(x + 3) + 3(x + 3) = 5x + -5 Reorder the terms: 7(3 + x) + 3(x + 3) = 5x + -5 (3 * 7 + x * 7) + 3(x + 3) = 5x + -5 (21 + 7x) + 3(x + 3) = 5x + -5 Reorder the terms: 21 + 7x + 3(3 + x) = 5x + -5 21 + 7x + (3 * 3 + x * 3) = 5x + -5 21 + 7x + (9 + 3x) = 5x + -5 Reorder the terms: 21 + 9 + 7x + 3x = 5x + -5 Combine like terms: 21 + 9 = 30 30 + 7x + 3x = 5x + -5 Combine like terms: 7x + 3x = 10x 30 + 10x = 5x + -5 Reorder the terms: 30 + 10x = -5 + 5x Solving 30 + 10x = -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. 30 + 10x + -5x = -5 + 5x + -5x Combine like terms: 10x + -5x = 5x 30 + 5x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 30 + 5x = -5 + 0 30 + 5x = -5 Add '-30' to each side of the equation. 30 + -30 + 5x = -5 + -30 Combine like terms: 30 + -30 = 0 0 + 5x = -5 + -30 5x = -5 + -30 Combine like terms: -5 + -30 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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