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Simplifying 9(x + 4) + 3(x + 4) = 5x + -5 Reorder the terms: 9(4 + x) + 3(x + 4) = 5x + -5 (4 * 9 + x * 9) + 3(x + 4) = 5x + -5 (36 + 9x) + 3(x + 4) = 5x + -5 Reorder the terms: 36 + 9x + 3(4 + x) = 5x + -5 36 + 9x + (4 * 3 + x * 3) = 5x + -5 36 + 9x + (12 + 3x) = 5x + -5 Reorder the terms: 36 + 12 + 9x + 3x = 5x + -5 Combine like terms: 36 + 12 = 48 48 + 9x + 3x = 5x + -5 Combine like terms: 9x + 3x = 12x 48 + 12x = 5x + -5 Reorder the terms: 48 + 12x = -5 + 5x Solving 48 + 12x = -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. 48 + 12x + -5x = -5 + 5x + -5x Combine like terms: 12x + -5x = 7x 48 + 7x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 48 + 7x = -5 + 0 48 + 7x = -5 Add '-48' to each side of the equation. 48 + -48 + 7x = -5 + -48 Combine like terms: 48 + -48 = 0 0 + 7x = -5 + -48 7x = -5 + -48 Combine like terms: -5 + -48 = -53 7x = -53 Divide each side by '7'. x = -7.571428571 Simplifying x = -7.571428571
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