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Simplifying 4(3x + 1) = 15 + 2 + -3x + 2 Reorder the terms: 4(1 + 3x) = 15 + 2 + -3x + 2 (1 * 4 + 3x * 4) = 15 + 2 + -3x + 2 (4 + 12x) = 15 + 2 + -3x + 2 Reorder the terms: 4 + 12x = 15 + 2 + 2 + -3x Combine like terms: 15 + 2 = 17 4 + 12x = 17 + 2 + -3x Combine like terms: 17 + 2 = 19 4 + 12x = 19 + -3x Solving 4 + 12x = 19 + -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. 4 + 12x + 3x = 19 + -3x + 3x Combine like terms: 12x + 3x = 15x 4 + 15x = 19 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 15x = 19 + 0 4 + 15x = 19 Add '-4' to each side of the equation. 4 + -4 + 15x = 19 + -4 Combine like terms: 4 + -4 = 0 0 + 15x = 19 + -4 15x = 19 + -4 Combine like terms: 19 + -4 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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