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Simplifying 9 + -3(x + -7) = 6x + 84 Reorder the terms: 9 + -3(-7 + x) = 6x + 84 9 + (-7 * -3 + x * -3) = 6x + 84 9 + (21 + -3x) = 6x + 84 Combine like terms: 9 + 21 = 30 30 + -3x = 6x + 84 Reorder the terms: 30 + -3x = 84 + 6x Solving 30 + -3x = 84 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 30 + -3x + -6x = 84 + 6x + -6x Combine like terms: -3x + -6x = -9x 30 + -9x = 84 + 6x + -6x Combine like terms: 6x + -6x = 0 30 + -9x = 84 + 0 30 + -9x = 84 Add '-30' to each side of the equation. 30 + -30 + -9x = 84 + -30 Combine like terms: 30 + -30 = 0 0 + -9x = 84 + -30 -9x = 84 + -30 Combine like terms: 84 + -30 = 54 -9x = 54 Divide each side by '-9'. x = -6 Simplifying x = -6
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