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Simplifying 4(1 + -7x) = -38 + -7x (1 * 4 + -7x * 4) = -38 + -7x (4 + -28x) = -38 + -7x Solving 4 + -28x = -38 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 4 + -28x + 7x = -38 + -7x + 7x Combine like terms: -28x + 7x = -21x 4 + -21x = -38 + -7x + 7x Combine like terms: -7x + 7x = 0 4 + -21x = -38 + 0 4 + -21x = -38 Add '-4' to each side of the equation. 4 + -4 + -21x = -38 + -4 Combine like terms: 4 + -4 = 0 0 + -21x = -38 + -4 -21x = -38 + -4 Combine like terms: -38 + -4 = -42 -21x = -42 Divide each side by '-21'. x = 2 Simplifying x = 2
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