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Simplifying 5(X + 1) + -3(2X + 3) = 3(x + 5) Reorder the terms: 5(1 + X) + -3(2X + 3) = 3(x + 5) (1 * 5 + X * 5) + -3(2X + 3) = 3(x + 5) (5 + 5X) + -3(2X + 3) = 3(x + 5) Reorder the terms: 5 + 5X + -3(3 + 2X) = 3(x + 5) 5 + 5X + (3 * -3 + 2X * -3) = 3(x + 5) 5 + 5X + (-9 + -6X) = 3(x + 5) Reorder the terms: 5 + -9 + 5X + -6X = 3(x + 5) Combine like terms: 5 + -9 = -4 -4 + 5X + -6X = 3(x + 5) Combine like terms: 5X + -6X = -1X -4 + -1X = 3(x + 5) Reorder the terms: -4 + -1X = 3(5 + x) -4 + -1X = (5 * 3 + x * 3) -4 + -1X = (15 + 3x) Solving -4 + -1X = 15 + 3x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1X = 15 + 4 + 3x Combine like terms: -4 + 4 = 0 0 + -1X = 15 + 4 + 3x -1X = 15 + 4 + 3x Combine like terms: 15 + 4 = 19 -1X = 19 + 3x Divide each side by '-1'. X = -19 + -3x Simplifying X = -19 + -3x
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