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Simplifying 10 = 18 + 4(3x + 7) Reorder the terms: 10 = 18 + 4(7 + 3x) 10 = 18 + (7 * 4 + 3x * 4) 10 = 18 + (28 + 12x) Combine like terms: 18 + 28 = 46 10 = 46 + 12x Solving 10 = 46 + 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. 10 + -12x = 46 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + -12x = 46 + 0 10 + -12x = 46 Add '-10' to each side of the equation. 10 + -10 + -12x = 46 + -10 Combine like terms: 10 + -10 = 0 0 + -12x = 46 + -10 -12x = 46 + -10 Combine like terms: 46 + -10 = 36 -12x = 36 Divide each side by '-12'. x = -3 Simplifying x = -3
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