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Simplifying 7(x + 3) = 4(3x + -1) Reorder the terms: 7(3 + x) = 4(3x + -1) (3 * 7 + x * 7) = 4(3x + -1) (21 + 7x) = 4(3x + -1) Reorder the terms: 21 + 7x = 4(-1 + 3x) 21 + 7x = (-1 * 4 + 3x * 4) 21 + 7x = (-4 + 12x) Solving 21 + 7x = -4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 21 + 7x + -12x = -4 + 12x + -12x Combine like terms: 7x + -12x = -5x 21 + -5x = -4 + 12x + -12x Combine like terms: 12x + -12x = 0 21 + -5x = -4 + 0 21 + -5x = -4 Add '-21' to each side of the equation. 21 + -21 + -5x = -4 + -21 Combine like terms: 21 + -21 = 0 0 + -5x = -4 + -21 -5x = -4 + -21 Combine like terms: -4 + -21 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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