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Simplifying 5(x + 1) + -3(2X + 3) = 3(x + 2) Reorder the terms: 5(1 + x) + -3(2X + 3) = 3(x + 2) (1 * 5 + x * 5) + -3(2X + 3) = 3(x + 2) (5 + 5x) + -3(2X + 3) = 3(x + 2) Reorder the terms: 5 + 5x + -3(3 + 2X) = 3(x + 2) 5 + 5x + (3 * -3 + 2X * -3) = 3(x + 2) 5 + 5x + (-9 + -6X) = 3(x + 2) Reorder the terms: 5 + -9 + -6X + 5x = 3(x + 2) Combine like terms: 5 + -9 = -4 -4 + -6X + 5x = 3(x + 2) Reorder the terms: -4 + -6X + 5x = 3(2 + x) -4 + -6X + 5x = (2 * 3 + x * 3) -4 + -6X + 5x = (6 + 3x) Solving -4 + -6X + 5x = 6 + 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 + -6X + 4 + 5x = 6 + 4 + 3x Reorder the terms: -4 + 4 + -6X + 5x = 6 + 4 + 3x Combine like terms: -4 + 4 = 0 0 + -6X + 5x = 6 + 4 + 3x -6X + 5x = 6 + 4 + 3x Combine like terms: 6 + 4 = 10 -6X + 5x = 10 + 3x Add '-5x' to each side of the equation. -6X + 5x + -5x = 10 + 3x + -5x Combine like terms: 5x + -5x = 0 -6X + 0 = 10 + 3x + -5x -6X = 10 + 3x + -5x Combine like terms: 3x + -5x = -2x -6X = 10 + -2x Divide each side by '-6'. X = -1.666666667 + 0.3333333333x Simplifying X = -1.666666667 + 0.3333333333x
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