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Simplifying 5(2x + 5) = 2(3x + 4) Reorder the terms: 5(5 + 2x) = 2(3x + 4) (5 * 5 + 2x * 5) = 2(3x + 4) (25 + 10x) = 2(3x + 4) Reorder the terms: 25 + 10x = 2(4 + 3x) 25 + 10x = (4 * 2 + 3x * 2) 25 + 10x = (8 + 6x) Solving 25 + 10x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 25 + 10x + -6x = 8 + 6x + -6x Combine like terms: 10x + -6x = 4x 25 + 4x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 25 + 4x = 8 + 0 25 + 4x = 8 Add '-25' to each side of the equation. 25 + -25 + 4x = 8 + -25 Combine like terms: 25 + -25 = 0 0 + 4x = 8 + -25 4x = 8 + -25 Combine like terms: 8 + -25 = -17 4x = -17 Divide each side by '4'. x = -4.25 Simplifying x = -4.25
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