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Simplifying 5(x + 1) + -3(2X + 1) = 4(5X) Reorder the terms: 5(1 + x) + -3(2X + 1) = 4(5X) (1 * 5 + x * 5) + -3(2X + 1) = 4(5X) (5 + 5x) + -3(2X + 1) = 4(5X) Reorder the terms: 5 + 5x + -3(1 + 2X) = 4(5X) 5 + 5x + (1 * -3 + 2X * -3) = 4(5X) 5 + 5x + (-3 + -6X) = 4(5X) Reorder the terms: 5 + -3 + -6X + 5x = 4(5X) Combine like terms: 5 + -3 = 2 2 + -6X + 5x = 4(5X) Remove parenthesis around (5X) 2 + -6X + 5x = 4 * 5X Multiply 4 * 5 2 + -6X + 5x = 20X Solving 2 + -6X + 5x = 20X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-20X' to each side of the equation. 2 + -6X + -20X + 5x = 20X + -20X Combine like terms: -6X + -20X = -26X 2 + -26X + 5x = 20X + -20X Combine like terms: 20X + -20X = 0 2 + -26X + 5x = 0 Add '-2' to each side of the equation. 2 + -26X + -2 + 5x = 0 + -2 Reorder the terms: 2 + -2 + -26X + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -26X + 5x = 0 + -2 -26X + 5x = 0 + -2 Combine like terms: 0 + -2 = -2 -26X + 5x = -2 Add '-5x' to each side of the equation. -26X + 5x + -5x = -2 + -5x Combine like terms: 5x + -5x = 0 -26X + 0 = -2 + -5x -26X = -2 + -5x Divide each side by '-26'. X = 0.07692307692 + 0.1923076923x Simplifying X = 0.07692307692 + 0.1923076923x
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