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Simplifying 1 + 4(7x + 5) = -29 + 3x Reorder the terms: 1 + 4(5 + 7x) = -29 + 3x 1 + (5 * 4 + 7x * 4) = -29 + 3x 1 + (20 + 28x) = -29 + 3x Combine like terms: 1 + 20 = 21 21 + 28x = -29 + 3x Solving 21 + 28x = -29 + 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. 21 + 28x + -3x = -29 + 3x + -3x Combine like terms: 28x + -3x = 25x 21 + 25x = -29 + 3x + -3x Combine like terms: 3x + -3x = 0 21 + 25x = -29 + 0 21 + 25x = -29 Add '-21' to each side of the equation. 21 + -21 + 25x = -29 + -21 Combine like terms: 21 + -21 = 0 0 + 25x = -29 + -21 25x = -29 + -21 Combine like terms: -29 + -21 = -50 25x = -50 Divide each side by '25'. x = -2 Simplifying x = -2
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