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Simplifying 5(4x + 5) = 8(3x + 6) Reorder the terms: 5(5 + 4x) = 8(3x + 6) (5 * 5 + 4x * 5) = 8(3x + 6) (25 + 20x) = 8(3x + 6) Reorder the terms: 25 + 20x = 8(6 + 3x) 25 + 20x = (6 * 8 + 3x * 8) 25 + 20x = (48 + 24x) Solving 25 + 20x = 48 + 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. 25 + 20x + -24x = 48 + 24x + -24x Combine like terms: 20x + -24x = -4x 25 + -4x = 48 + 24x + -24x Combine like terms: 24x + -24x = 0 25 + -4x = 48 + 0 25 + -4x = 48 Add '-25' to each side of the equation. 25 + -25 + -4x = 48 + -25 Combine like terms: 25 + -25 = 0 0 + -4x = 48 + -25 -4x = 48 + -25 Combine like terms: 48 + -25 = 23 -4x = 23 Divide each side by '-4'. x = -5.75 Simplifying x = -5.75
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