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Simplifying 84 = 3(x + 7) + 6x Reorder the terms: 84 = 3(7 + x) + 6x 84 = (7 * 3 + x * 3) + 6x 84 = (21 + 3x) + 6x Combine like terms: 3x + 6x = 9x 84 = 21 + 9x Solving 84 = 21 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 84 + -9x = 21 + 9x + -9x Combine like terms: 9x + -9x = 0 84 + -9x = 21 + 0 84 + -9x = 21 Add '-84' to each side of the equation. 84 + -84 + -9x = 21 + -84 Combine like terms: 84 + -84 = 0 0 + -9x = 21 + -84 -9x = 21 + -84 Combine like terms: 21 + -84 = -63 -9x = -63 Divide each side by '-9'. x = 7 Simplifying x = 7
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