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Simplifying 98 = -7x + -7(1 + -4x) 98 = -7x + (1 * -7 + -4x * -7) 98 = -7x + (-7 + 28x) Reorder the terms: 98 = -7 + -7x + 28x Combine like terms: -7x + 28x = 21x 98 = -7 + 21x Solving 98 = -7 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 98 + -21x = -7 + 21x + -21x Combine like terms: 21x + -21x = 0 98 + -21x = -7 + 0 98 + -21x = -7 Add '-98' to each side of the equation. 98 + -98 + -21x = -7 + -98 Combine like terms: 98 + -98 = 0 0 + -21x = -7 + -98 -21x = -7 + -98 Combine like terms: -7 + -98 = -105 -21x = -105 Divide each side by '-21'. x = 5 Simplifying x = 5
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