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Simplifying 5(X + -2) + 3X = 6 + -1(4 + -2X) Reorder the terms: 5(-2 + X) + 3X = 6 + -1(4 + -2X) (-2 * 5 + X * 5) + 3X = 6 + -1(4 + -2X) (-10 + 5X) + 3X = 6 + -1(4 + -2X) Combine like terms: 5X + 3X = 8X -10 + 8X = 6 + -1(4 + -2X) -10 + 8X = 6 + (4 * -1 + -2X * -1) -10 + 8X = 6 + (-4 + 2X) Combine like terms: 6 + -4 = 2 -10 + 8X = 2 + 2X Solving -10 + 8X = 2 + 2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2X' to each side of the equation. -10 + 8X + -2X = 2 + 2X + -2X Combine like terms: 8X + -2X = 6X -10 + 6X = 2 + 2X + -2X Combine like terms: 2X + -2X = 0 -10 + 6X = 2 + 0 -10 + 6X = 2 Add '10' to each side of the equation. -10 + 10 + 6X = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 6X = 2 + 10 6X = 2 + 10 Combine like terms: 2 + 10 = 12 6X = 12 Divide each side by '6'. X = 2 Simplifying X = 2
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