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Simplifying 5 + 3(5x + -6) = 5 + -5(2x + 1) Reorder the terms: 5 + 3(-6 + 5x) = 5 + -5(2x + 1) 5 + (-6 * 3 + 5x * 3) = 5 + -5(2x + 1) 5 + (-18 + 15x) = 5 + -5(2x + 1) Combine like terms: 5 + -18 = -13 -13 + 15x = 5 + -5(2x + 1) Reorder the terms: -13 + 15x = 5 + -5(1 + 2x) -13 + 15x = 5 + (1 * -5 + 2x * -5) -13 + 15x = 5 + (-5 + -10x) Combine like terms: 5 + -5 = 0 -13 + 15x = 0 + -10x -13 + 15x = -10x Solving -13 + 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. -13 + 15x + 10x = -10x + 10x Combine like terms: 15x + 10x = 25x -13 + 25x = -10x + 10x Combine like terms: -10x + 10x = 0 -13 + 25x = 0 Add '13' to each side of the equation. -13 + 13 + 25x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 25x = 0 + 13 25x = 0 + 13 Combine like terms: 0 + 13 = 13 25x = 13 Divide each side by '25'. x = 0.52 Simplifying x = 0.52
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