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Simplifying 84 = 3x + -3(6x + 7) Reorder the terms: 84 = 3x + -3(7 + 6x) 84 = 3x + (7 * -3 + 6x * -3) 84 = 3x + (-21 + -18x) Reorder the terms: 84 = -21 + 3x + -18x Combine like terms: 3x + -18x = -15x 84 = -21 + -15x Solving 84 = -21 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 84 + 15x = -21 + -15x + 15x Combine like terms: -15x + 15x = 0 84 + 15x = -21 + 0 84 + 15x = -21 Add '-84' to each side of the equation. 84 + -84 + 15x = -21 + -84 Combine like terms: 84 + -84 = 0 0 + 15x = -21 + -84 15x = -21 + -84 Combine like terms: -21 + -84 = -105 15x = -105 Divide each side by '15'. x = -7 Simplifying x = -7
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