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Simplifying 6x + 84 = 12(x + 4) Reorder the terms: 84 + 6x = 12(x + 4) Reorder the terms: 84 + 6x = 12(4 + x) 84 + 6x = (4 * 12 + x * 12) 84 + 6x = (48 + 12x) Solving 84 + 6x = 48 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 84 + 6x + -12x = 48 + 12x + -12x Combine like terms: 6x + -12x = -6x 84 + -6x = 48 + 12x + -12x Combine like terms: 12x + -12x = 0 84 + -6x = 48 + 0 84 + -6x = 48 Add '-84' to each side of the equation. 84 + -84 + -6x = 48 + -84 Combine like terms: 84 + -84 = 0 0 + -6x = 48 + -84 -6x = 48 + -84 Combine like terms: 48 + -84 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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