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Simplifying 5(2x + -3) = 1 + -3x Reorder the terms: 5(-3 + 2x) = 1 + -3x (-3 * 5 + 2x * 5) = 1 + -3x (-15 + 10x) = 1 + -3x Solving -15 + 10x = 1 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -15 + 10x + 3x = 1 + -3x + 3x Combine like terms: 10x + 3x = 13x -15 + 13x = 1 + -3x + 3x Combine like terms: -3x + 3x = 0 -15 + 13x = 1 + 0 -15 + 13x = 1 Add '15' to each side of the equation. -15 + 15 + 13x = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 13x = 1 + 15 13x = 1 + 15 Combine like terms: 1 + 15 = 16 13x = 16 Divide each side by '13'. x = 1.230769231 Simplifying x = 1.230769231
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