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Simplifying 12x + -6 = 16x + -17 Reorder the terms: -6 + 12x = 16x + -17 Reorder the terms: -6 + 12x = -17 + 16x Solving -6 + 12x = -17 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -6 + 12x + -16x = -17 + 16x + -16x Combine like terms: 12x + -16x = -4x -6 + -4x = -17 + 16x + -16x Combine like terms: 16x + -16x = 0 -6 + -4x = -17 + 0 -6 + -4x = -17 Add '6' to each side of the equation. -6 + 6 + -4x = -17 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = -17 + 6 -4x = -17 + 6 Combine like terms: -17 + 6 = -11 -4x = -11 Divide each side by '-4'. x = 2.75 Simplifying x = 2.75
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