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Simplifying 7(3x + 6) + -5x + 12 = 84 Reorder the terms: 7(6 + 3x) + -5x + 12 = 84 (6 * 7 + 3x * 7) + -5x + 12 = 84 (42 + 21x) + -5x + 12 = 84 Reorder the terms: 42 + 12 + 21x + -5x = 84 Combine like terms: 42 + 12 = 54 54 + 21x + -5x = 84 Combine like terms: 21x + -5x = 16x 54 + 16x = 84 Solving 54 + 16x = 84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 16x = 84 + -54 Combine like terms: 54 + -54 = 0 0 + 16x = 84 + -54 16x = 84 + -54 Combine like terms: 84 + -54 = 30 16x = 30 Divide each side by '16'. x = 1.875 Simplifying x = 1.875
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