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Simplifying 3(4 + 3x) = 48 + (-8x + -2) (4 * 3 + 3x * 3) = 48 + (-8x + -2) (12 + 9x) = 48 + (-8x + -2) Reorder the terms: 12 + 9x = 48 + (-2 + -8x) Remove parenthesis around (-2 + -8x) 12 + 9x = 48 + -2 + -8x Combine like terms: 48 + -2 = 46 12 + 9x = 46 + -8x Solving 12 + 9x = 46 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 12 + 9x + 8x = 46 + -8x + 8x Combine like terms: 9x + 8x = 17x 12 + 17x = 46 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + 17x = 46 + 0 12 + 17x = 46 Add '-12' to each side of the equation. 12 + -12 + 17x = 46 + -12 Combine like terms: 12 + -12 = 0 0 + 17x = 46 + -12 17x = 46 + -12 Combine like terms: 46 + -12 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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