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Simplifying 5(4x + 1) + 2 = 8(2x + 3) + -1 Reorder the terms: 5(1 + 4x) + 2 = 8(2x + 3) + -1 (1 * 5 + 4x * 5) + 2 = 8(2x + 3) + -1 (5 + 20x) + 2 = 8(2x + 3) + -1 Reorder the terms: 5 + 2 + 20x = 8(2x + 3) + -1 Combine like terms: 5 + 2 = 7 7 + 20x = 8(2x + 3) + -1 Reorder the terms: 7 + 20x = 8(3 + 2x) + -1 7 + 20x = (3 * 8 + 2x * 8) + -1 7 + 20x = (24 + 16x) + -1 Reorder the terms: 7 + 20x = 24 + -1 + 16x Combine like terms: 24 + -1 = 23 7 + 20x = 23 + 16x Solving 7 + 20x = 23 + 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. 7 + 20x + -16x = 23 + 16x + -16x Combine like terms: 20x + -16x = 4x 7 + 4x = 23 + 16x + -16x Combine like terms: 16x + -16x = 0 7 + 4x = 23 + 0 7 + 4x = 23 Add '-7' to each side of the equation. 7 + -7 + 4x = 23 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 23 + -7 4x = 23 + -7 Combine like terms: 23 + -7 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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