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Simplifying 3(x + 1) + -8 = 5x + -2(3 + X) Reorder the terms: 3(1 + x) + -8 = 5x + -2(3 + X) (1 * 3 + x * 3) + -8 = 5x + -2(3 + X) (3 + 3x) + -8 = 5x + -2(3 + X) Reorder the terms: 3 + -8 + 3x = 5x + -2(3 + X) Combine like terms: 3 + -8 = -5 -5 + 3x = 5x + -2(3 + X) -5 + 3x = 5x + (3 * -2 + X * -2) -5 + 3x = 5x + (-6 + -2X) Reorder the terms: -5 + 3x = -6 + -2X + 5x Solving -5 + 3x = -6 + -2X + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + 3x + -5x = -6 + -2X + 5x + -5x Combine like terms: 3x + -5x = -2x -5 + -2x = -6 + -2X + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -2x = -6 + -2X + 0 -5 + -2x = -6 + -2X Add '5' to each side of the equation. -5 + 5 + -2x = -6 + 5 + -2X Combine like terms: -5 + 5 = 0 0 + -2x = -6 + 5 + -2X -2x = -6 + 5 + -2X Combine like terms: -6 + 5 = -1 -2x = -1 + -2X Divide each side by '-2'. x = 0.5 + X Simplifying x = 0.5 + X
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