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Simplifying 84 = -7x + 7(4x + -3) Reorder the terms: 84 = -7x + 7(-3 + 4x) 84 = -7x + (-3 * 7 + 4x * 7) 84 = -7x + (-21 + 28x) Reorder the terms: 84 = -21 + -7x + 28x Combine like terms: -7x + 28x = 21x 84 = -21 + 21x Solving 84 = -21 + 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. 84 + -21x = -21 + 21x + -21x Combine like terms: 21x + -21x = 0 84 + -21x = -21 + 0 84 + -21x = -21 Add '-84' to each side of the equation. 84 + -84 + -21x = -21 + -84 Combine like terms: 84 + -84 = 0 0 + -21x = -21 + -84 -21x = -21 + -84 Combine like terms: -21 + -84 = -105 -21x = -105 Divide each side by '-21'. x = 5 Simplifying x = 5
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