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Simplifying 3(7x + 1) = 9 + -3(x + -4) Reorder the terms: 3(1 + 7x) = 9 + -3(x + -4) (1 * 3 + 7x * 3) = 9 + -3(x + -4) (3 + 21x) = 9 + -3(x + -4) Reorder the terms: 3 + 21x = 9 + -3(-4 + x) 3 + 21x = 9 + (-4 * -3 + x * -3) 3 + 21x = 9 + (12 + -3x) Combine like terms: 9 + 12 = 21 3 + 21x = 21 + -3x Solving 3 + 21x = 21 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 3 + 21x + 3x = 21 + -3x + 3x Combine like terms: 21x + 3x = 24x 3 + 24x = 21 + -3x + 3x Combine like terms: -3x + 3x = 0 3 + 24x = 21 + 0 3 + 24x = 21 Add '-3' to each side of the equation. 3 + -3 + 24x = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 24x = 21 + -3 24x = 21 + -3 Combine like terms: 21 + -3 = 18 24x = 18 Divide each side by '24'. x = 0.75 Simplifying x = 0.75
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