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Simplifying 5(x + 8) = 3x + 34 Reorder the terms: 5(8 + x) = 3x + 34 (8 * 5 + x * 5) = 3x + 34 (40 + 5x) = 3x + 34 Reorder the terms: 40 + 5x = 34 + 3x Solving 40 + 5x = 34 + 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. 40 + 5x + -3x = 34 + 3x + -3x Combine like terms: 5x + -3x = 2x 40 + 2x = 34 + 3x + -3x Combine like terms: 3x + -3x = 0 40 + 2x = 34 + 0 40 + 2x = 34 Add '-40' to each side of the equation. 40 + -40 + 2x = 34 + -40 Combine like terms: 40 + -40 = 0 0 + 2x = 34 + -40 2x = 34 + -40 Combine like terms: 34 + -40 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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