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Simplifying 7(3x + 1) = 4(x + -5) Reorder the terms: 7(1 + 3x) = 4(x + -5) (1 * 7 + 3x * 7) = 4(x + -5) (7 + 21x) = 4(x + -5) Reorder the terms: 7 + 21x = 4(-5 + x) 7 + 21x = (-5 * 4 + x * 4) 7 + 21x = (-20 + 4x) Solving 7 + 21x = -20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 7 + 21x + -4x = -20 + 4x + -4x Combine like terms: 21x + -4x = 17x 7 + 17x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + 17x = -20 + 0 7 + 17x = -20 Add '-7' to each side of the equation. 7 + -7 + 17x = -20 + -7 Combine like terms: 7 + -7 = 0 0 + 17x = -20 + -7 17x = -20 + -7 Combine like terms: -20 + -7 = -27 17x = -27 Divide each side by '17'. x = -1.588235294 Simplifying x = -1.588235294
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