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Simplifying 5x = 8(3x + 4) Reorder the terms: 5x = 8(4 + 3x) 5x = (4 * 8 + 3x * 8) 5x = (32 + 24x) Solving 5x = 32 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 5x + -24x = 32 + 24x + -24x Combine like terms: 5x + -24x = -19x -19x = 32 + 24x + -24x Combine like terms: 24x + -24x = 0 -19x = 32 + 0 -19x = 32 Divide each side by '-19'. x = -1.684210526 Simplifying x = -1.684210526
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