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Simplifying 8(3x + -2) = 5(4x + 5) Reorder the terms: 8(-2 + 3x) = 5(4x + 5) (-2 * 8 + 3x * 8) = 5(4x + 5) (-16 + 24x) = 5(4x + 5) Reorder the terms: -16 + 24x = 5(5 + 4x) -16 + 24x = (5 * 5 + 4x * 5) -16 + 24x = (25 + 20x) Solving -16 + 24x = 25 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -16 + 24x + -20x = 25 + 20x + -20x Combine like terms: 24x + -20x = 4x -16 + 4x = 25 + 20x + -20x Combine like terms: 20x + -20x = 0 -16 + 4x = 25 + 0 -16 + 4x = 25 Add '16' to each side of the equation. -16 + 16 + 4x = 25 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = 25 + 16 4x = 25 + 16 Combine like terms: 25 + 16 = 41 4x = 41 Divide each side by '4'. x = 10.25 Simplifying x = 10.25
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