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Simplifying 5(x + -2) + -3(X + 4) = 2(x + 5) Reorder the terms: 5(-2 + x) + -3(X + 4) = 2(x + 5) (-2 * 5 + x * 5) + -3(X + 4) = 2(x + 5) (-10 + 5x) + -3(X + 4) = 2(x + 5) Reorder the terms: -10 + 5x + -3(4 + X) = 2(x + 5) -10 + 5x + (4 * -3 + X * -3) = 2(x + 5) -10 + 5x + (-12 + -3X) = 2(x + 5) Reorder the terms: -10 + -12 + -3X + 5x = 2(x + 5) Combine like terms: -10 + -12 = -22 -22 + -3X + 5x = 2(x + 5) Reorder the terms: -22 + -3X + 5x = 2(5 + x) -22 + -3X + 5x = (5 * 2 + x * 2) -22 + -3X + 5x = (10 + 2x) Solving -22 + -3X + 5x = 10 + 2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '22' to each side of the equation. -22 + -3X + 22 + 5x = 10 + 22 + 2x Reorder the terms: -22 + 22 + -3X + 5x = 10 + 22 + 2x Combine like terms: -22 + 22 = 0 0 + -3X + 5x = 10 + 22 + 2x -3X + 5x = 10 + 22 + 2x Combine like terms: 10 + 22 = 32 -3X + 5x = 32 + 2x Add '-5x' to each side of the equation. -3X + 5x + -5x = 32 + 2x + -5x Combine like terms: 5x + -5x = 0 -3X + 0 = 32 + 2x + -5x -3X = 32 + 2x + -5x Combine like terms: 2x + -5x = -3x -3X = 32 + -3x Divide each side by '-3'. X = -10.66666667 + x Simplifying X = -10.66666667 + x
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