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Simplifying 4(7x + 8) + 5 = -38 + 3x Reorder the terms: 4(8 + 7x) + 5 = -38 + 3x (8 * 4 + 7x * 4) + 5 = -38 + 3x (32 + 28x) + 5 = -38 + 3x Reorder the terms: 32 + 5 + 28x = -38 + 3x Combine like terms: 32 + 5 = 37 37 + 28x = -38 + 3x Solving 37 + 28x = -38 + 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. 37 + 28x + -3x = -38 + 3x + -3x Combine like terms: 28x + -3x = 25x 37 + 25x = -38 + 3x + -3x Combine like terms: 3x + -3x = 0 37 + 25x = -38 + 0 37 + 25x = -38 Add '-37' to each side of the equation. 37 + -37 + 25x = -38 + -37 Combine like terms: 37 + -37 = 0 0 + 25x = -38 + -37 25x = -38 + -37 Combine like terms: -38 + -37 = -75 25x = -75 Divide each side by '25'. x = -3 Simplifying x = -3
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