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Simplifying 5(2x + 5) = 6(5x + -4) Reorder the terms: 5(5 + 2x) = 6(5x + -4) (5 * 5 + 2x * 5) = 6(5x + -4) (25 + 10x) = 6(5x + -4) Reorder the terms: 25 + 10x = 6(-4 + 5x) 25 + 10x = (-4 * 6 + 5x * 6) 25 + 10x = (-24 + 30x) Solving 25 + 10x = -24 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 25 + 10x + -30x = -24 + 30x + -30x Combine like terms: 10x + -30x = -20x 25 + -20x = -24 + 30x + -30x Combine like terms: 30x + -30x = 0 25 + -20x = -24 + 0 25 + -20x = -24 Add '-25' to each side of the equation. 25 + -25 + -20x = -24 + -25 Combine like terms: 25 + -25 = 0 0 + -20x = -24 + -25 -20x = -24 + -25 Combine like terms: -24 + -25 = -49 -20x = -49 Divide each side by '-20'. x = 2.45 Simplifying x = 2.45
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