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Simplifying 8 + 3(5x + -6) = 5 + -5(2x + 1) Reorder the terms: 8 + 3(-6 + 5x) = 5 + -5(2x + 1) 8 + (-6 * 3 + 5x * 3) = 5 + -5(2x + 1) 8 + (-18 + 15x) = 5 + -5(2x + 1) Combine like terms: 8 + -18 = -10 -10 + 15x = 5 + -5(2x + 1) Reorder the terms: -10 + 15x = 5 + -5(1 + 2x) -10 + 15x = 5 + (1 * -5 + 2x * -5) -10 + 15x = 5 + (-5 + -10x) Combine like terms: 5 + -5 = 0 -10 + 15x = 0 + -10x -10 + 15x = -10x Solving -10 + 15x = -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 = -10x + 10x Combine like terms: 15x + 10x = 25x -10 + 25x = -10x + 10x Combine like terms: -10x + 10x = 0 -10 + 25x = 0 Add '10' to each side of the equation. -10 + 10 + 25x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 25x = 0 + 10 25x = 0 + 10 Combine like terms: 0 + 10 = 10 25x = 10 Divide each side by '25'. x = 0.4 Simplifying x = 0.4
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