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Simplifying 2(3X + -2) + -5 = 2(X + -3) + 5 Reorder the terms: 2(-2 + 3X) + -5 = 2(X + -3) + 5 (-2 * 2 + 3X * 2) + -5 = 2(X + -3) + 5 (-4 + 6X) + -5 = 2(X + -3) + 5 Reorder the terms: -4 + -5 + 6X = 2(X + -3) + 5 Combine like terms: -4 + -5 = -9 -9 + 6X = 2(X + -3) + 5 Reorder the terms: -9 + 6X = 2(-3 + X) + 5 -9 + 6X = (-3 * 2 + X * 2) + 5 -9 + 6X = (-6 + 2X) + 5 Reorder the terms: -9 + 6X = -6 + 5 + 2X Combine like terms: -6 + 5 = -1 -9 + 6X = -1 + 2X Solving -9 + 6X = -1 + 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. -9 + 6X + -2X = -1 + 2X + -2X Combine like terms: 6X + -2X = 4X -9 + 4X = -1 + 2X + -2X Combine like terms: 2X + -2X = 0 -9 + 4X = -1 + 0 -9 + 4X = -1 Add '9' to each side of the equation. -9 + 9 + 4X = -1 + 9 Combine like terms: -9 + 9 = 0 0 + 4X = -1 + 9 4X = -1 + 9 Combine like terms: -1 + 9 = 8 4X = 8 Divide each side by '4'. X = 2 Simplifying X = 2
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