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Simplifying 4(3x + 2) = -3x + 38 Reorder the terms: 4(2 + 3x) = -3x + 38 (2 * 4 + 3x * 4) = -3x + 38 (8 + 12x) = -3x + 38 Reorder the terms: 8 + 12x = 38 + -3x Solving 8 + 12x = 38 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 8 + 12x + 3x = 38 + -3x + 3x Combine like terms: 12x + 3x = 15x 8 + 15x = 38 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 15x = 38 + 0 8 + 15x = 38 Add '-8' to each side of the equation. 8 + -8 + 15x = 38 + -8 Combine like terms: 8 + -8 = 0 0 + 15x = 38 + -8 15x = 38 + -8 Combine like terms: 38 + -8 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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