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Simplifying 3(4x + 2) + 1 = 28x + 15 Reorder the terms: 3(2 + 4x) + 1 = 28x + 15 (2 * 3 + 4x * 3) + 1 = 28x + 15 (6 + 12x) + 1 = 28x + 15 Reorder the terms: 6 + 1 + 12x = 28x + 15 Combine like terms: 6 + 1 = 7 7 + 12x = 28x + 15 Reorder the terms: 7 + 12x = 15 + 28x Solving 7 + 12x = 15 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 7 + 12x + -28x = 15 + 28x + -28x Combine like terms: 12x + -28x = -16x 7 + -16x = 15 + 28x + -28x Combine like terms: 28x + -28x = 0 7 + -16x = 15 + 0 7 + -16x = 15 Add '-7' to each side of the equation. 7 + -7 + -16x = 15 + -7 Combine like terms: 7 + -7 = 0 0 + -16x = 15 + -7 -16x = 15 + -7 Combine like terms: 15 + -7 = 8 -16x = 8 Divide each side by '-16'. x = -0.5 Simplifying x = -0.5
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