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Simplifying 8(3x + 4) = 0.5(5x + 2) Reorder the terms: 8(4 + 3x) = 0.5(5x + 2) (4 * 8 + 3x * 8) = 0.5(5x + 2) (32 + 24x) = 0.5(5x + 2) Reorder the terms: 32 + 24x = 0.5(2 + 5x) 32 + 24x = (2 * 0.5 + 5x * 0.5) 32 + 24x = (1 + 2.5x) Solving 32 + 24x = 1 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 32 + 24x + -2.5x = 1 + 2.5x + -2.5x Combine like terms: 24x + -2.5x = 21.5x 32 + 21.5x = 1 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 32 + 21.5x = 1 + 0.0 32 + 21.5x = 1 Add '-32' to each side of the equation. 32 + -32 + 21.5x = 1 + -32 Combine like terms: 32 + -32 = 0 0 + 21.5x = 1 + -32 21.5x = 1 + -32 Combine like terms: 1 + -32 = -31 21.5x = -31 Divide each side by '21.5'. x = -1.441860465 Simplifying x = -1.441860465
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