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Simplifying 9x + 3(x + 4) = 5(x + 1) Reorder the terms: 9x + 3(4 + x) = 5(x + 1) 9x + (4 * 3 + x * 3) = 5(x + 1) 9x + (12 + 3x) = 5(x + 1) Reorder the terms: 12 + 9x + 3x = 5(x + 1) Combine like terms: 9x + 3x = 12x 12 + 12x = 5(x + 1) Reorder the terms: 12 + 12x = 5(1 + x) 12 + 12x = (1 * 5 + x * 5) 12 + 12x = (5 + 5x) Solving 12 + 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. 12 + 12x + -5x = 5 + 5x + -5x Combine like terms: 12x + -5x = 7x 12 + 7x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 7x = 5 + 0 12 + 7x = 5 Add '-12' to each side of the equation. 12 + -12 + 7x = 5 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 5 + -12 7x = 5 + -12 Combine like terms: 5 + -12 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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