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Simplifying 5 + 5(X + -2) = 1 + -3(X + -1) Reorder the terms: 5 + 5(-2 + X) = 1 + -3(X + -1) 5 + (-2 * 5 + X * 5) = 1 + -3(X + -1) 5 + (-10 + 5X) = 1 + -3(X + -1) Combine like terms: 5 + -10 = -5 -5 + 5X = 1 + -3(X + -1) Reorder the terms: -5 + 5X = 1 + -3(-1 + X) -5 + 5X = 1 + (-1 * -3 + X * -3) -5 + 5X = 1 + (3 + -3X) Combine like terms: 1 + 3 = 4 -5 + 5X = 4 + -3X Solving -5 + 5X = 4 + -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. -5 + 5X + 3X = 4 + -3X + 3X Combine like terms: 5X + 3X = 8X -5 + 8X = 4 + -3X + 3X Combine like terms: -3X + 3X = 0 -5 + 8X = 4 + 0 -5 + 8X = 4 Add '5' to each side of the equation. -5 + 5 + 8X = 4 + 5 Combine like terms: -5 + 5 = 0 0 + 8X = 4 + 5 8X = 4 + 5 Combine like terms: 4 + 5 = 9 8X = 9 Divide each side by '8'. X = 1.125 Simplifying X = 1.125
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