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Simplifying 4(3x + 1) + 3(x + 3) = 28 Reorder the terms: 4(1 + 3x) + 3(x + 3) = 28 (1 * 4 + 3x * 4) + 3(x + 3) = 28 (4 + 12x) + 3(x + 3) = 28 Reorder the terms: 4 + 12x + 3(3 + x) = 28 4 + 12x + (3 * 3 + x * 3) = 28 4 + 12x + (9 + 3x) = 28 Reorder the terms: 4 + 9 + 12x + 3x = 28 Combine like terms: 4 + 9 = 13 13 + 12x + 3x = 28 Combine like terms: 12x + 3x = 15x 13 + 15x = 28 Solving 13 + 15x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 15x = 28 + -13 Combine like terms: 13 + -13 = 0 0 + 15x = 28 + -13 15x = 28 + -13 Combine like terms: 28 + -13 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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