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Simplifying 8(3x + 1) = 8(5x + 4) + 8 Reorder the terms: 8(1 + 3x) = 8(5x + 4) + 8 (1 * 8 + 3x * 8) = 8(5x + 4) + 8 (8 + 24x) = 8(5x + 4) + 8 Reorder the terms: 8 + 24x = 8(4 + 5x) + 8 8 + 24x = (4 * 8 + 5x * 8) + 8 8 + 24x = (32 + 40x) + 8 Reorder the terms: 8 + 24x = 32 + 8 + 40x Combine like terms: 32 + 8 = 40 8 + 24x = 40 + 40x Solving 8 + 24x = 40 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 8 + 24x + -40x = 40 + 40x + -40x Combine like terms: 24x + -40x = -16x 8 + -16x = 40 + 40x + -40x Combine like terms: 40x + -40x = 0 8 + -16x = 40 + 0 8 + -16x = 40 Add '-8' to each side of the equation. 8 + -8 + -16x = 40 + -8 Combine like terms: 8 + -8 = 0 0 + -16x = 40 + -8 -16x = 40 + -8 Combine like terms: 40 + -8 = 32 -16x = 32 Divide each side by '-16'. x = -2 Simplifying x = -2
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