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Simplifying 84 = -6x + -3(5x + 7) Reorder the terms: 84 = -6x + -3(7 + 5x) 84 = -6x + (7 * -3 + 5x * -3) 84 = -6x + (-21 + -15x) Reorder the terms: 84 = -21 + -6x + -15x Combine like terms: -6x + -15x = -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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