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Simplifying 5 + 3(5x + -5) = 6 + -5(2x + 1) Reorder the terms: 5 + 3(-5 + 5x) = 6 + -5(2x + 1) 5 + (-5 * 3 + 5x * 3) = 6 + -5(2x + 1) 5 + (-15 + 15x) = 6 + -5(2x + 1) Combine like terms: 5 + -15 = -10 -10 + 15x = 6 + -5(2x + 1) Reorder the terms: -10 + 15x = 6 + -5(1 + 2x) -10 + 15x = 6 + (1 * -5 + 2x * -5) -10 + 15x = 6 + (-5 + -10x) Combine like terms: 6 + -5 = 1 -10 + 15x = 1 + -10x Solving -10 + 15x = 1 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -10 + 15x + 10x = 1 + -10x + 10x Combine like terms: 15x + 10x = 25x -10 + 25x = 1 + -10x + 10x Combine like terms: -10x + 10x = 0 -10 + 25x = 1 + 0 -10 + 25x = 1 Add '10' to each side of the equation. -10 + 10 + 25x = 1 + 10 Combine like terms: -10 + 10 = 0 0 + 25x = 1 + 10 25x = 1 + 10 Combine like terms: 1 + 10 = 11 25x = 11 Divide each side by '25'. x = 0.44 Simplifying x = 0.44
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