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Simplifying 3(x + 4) + 5 = 46 + (8x + 5) * 2 Reorder the terms: 3(4 + x) + 5 = 46 + (8x + 5) * 2 (4 * 3 + x * 3) + 5 = 46 + (8x + 5) * 2 (12 + 3x) + 5 = 46 + (8x + 5) * 2 Reorder the terms: 12 + 5 + 3x = 46 + (8x + 5) * 2 Combine like terms: 12 + 5 = 17 17 + 3x = 46 + (8x + 5) * 2 Reorder the terms: 17 + 3x = 46 + (5 + 8x) * 2 Reorder the terms for easier multiplication: 17 + 3x = 46 + 2(5 + 8x) 17 + 3x = 46 + (5 * 2 + 8x * 2) 17 + 3x = 46 + (10 + 16x) Combine like terms: 46 + 10 = 56 17 + 3x = 56 + 16x Solving 17 + 3x = 56 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 17 + 3x + -16x = 56 + 16x + -16x Combine like terms: 3x + -16x = -13x 17 + -13x = 56 + 16x + -16x Combine like terms: 16x + -16x = 0 17 + -13x = 56 + 0 17 + -13x = 56 Add '-17' to each side of the equation. 17 + -17 + -13x = 56 + -17 Combine like terms: 17 + -17 = 0 0 + -13x = 56 + -17 -13x = 56 + -17 Combine like terms: 56 + -17 = 39 -13x = 39 Divide each side by '-13'. x = -3 Simplifying x = -3
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