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Simplifying 3x + 7(4 + 2x) = x + 5 3x + (4 * 7 + 2x * 7) = x + 5 3x + (28 + 14x) = x + 5 Reorder the terms: 28 + 3x + 14x = x + 5 Combine like terms: 3x + 14x = 17x 28 + 17x = x + 5 Reorder the terms: 28 + 17x = 5 + x Solving 28 + 17x = 5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 28 + 17x + -1x = 5 + x + -1x Combine like terms: 17x + -1x = 16x 28 + 16x = 5 + x + -1x Combine like terms: x + -1x = 0 28 + 16x = 5 + 0 28 + 16x = 5 Add '-28' to each side of the equation. 28 + -28 + 16x = 5 + -28 Combine like terms: 28 + -28 = 0 0 + 16x = 5 + -28 16x = 5 + -28 Combine like terms: 5 + -28 = -23 16x = -23 Divide each side by '16'. x = -1.4375 Simplifying x = -1.4375
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