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Simplifying 3x + 10 + -2X = 8 + 2x + -5 Reorder the terms: 10 + -2X + 3x = 8 + 2x + -5 Reorder the terms: 10 + -2X + 3x = 8 + -5 + 2x Combine like terms: 8 + -5 = 3 10 + -2X + 3x = 3 + 2x Solving 10 + -2X + 3x = 3 + 2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -2X + -10 + 3x = 3 + -10 + 2x Reorder the terms: 10 + -10 + -2X + 3x = 3 + -10 + 2x Combine like terms: 10 + -10 = 0 0 + -2X + 3x = 3 + -10 + 2x -2X + 3x = 3 + -10 + 2x Combine like terms: 3 + -10 = -7 -2X + 3x = -7 + 2x Add '-3x' to each side of the equation. -2X + 3x + -3x = -7 + 2x + -3x Combine like terms: 3x + -3x = 0 -2X + 0 = -7 + 2x + -3x -2X = -7 + 2x + -3x Combine like terms: 2x + -3x = -1x -2X = -7 + -1x Divide each side by '-2'. X = 3.5 + 0.5x Simplifying X = 3.5 + 0.5x
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