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Simplifying 5x + -2 + 3x = 17 + 12x + -33 Reorder the terms: -2 + 5x + 3x = 17 + 12x + -33 Combine like terms: 5x + 3x = 8x -2 + 8x = 17 + 12x + -33 Reorder the terms: -2 + 8x = 17 + -33 + 12x Combine like terms: 17 + -33 = -16 -2 + 8x = -16 + 12x Solving -2 + 8x = -16 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -2 + 8x + -12x = -16 + 12x + -12x Combine like terms: 8x + -12x = -4x -2 + -4x = -16 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -4x = -16 + 0 -2 + -4x = -16 Add '2' to each side of the equation. -2 + 2 + -4x = -16 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = -16 + 2 -4x = -16 + 2 Combine like terms: -16 + 2 = -14 -4x = -14 Divide each side by '-4'. x = 3.5 Simplifying x = 3.5
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