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Simplifying -3x + -16 = 12x + 22 Reorder the terms: -16 + -3x = 12x + 22 Reorder the terms: -16 + -3x = 22 + 12x Solving -16 + -3x = 22 + 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. -16 + -3x + -12x = 22 + 12x + -12x Combine like terms: -3x + -12x = -15x -16 + -15x = 22 + 12x + -12x Combine like terms: 12x + -12x = 0 -16 + -15x = 22 + 0 -16 + -15x = 22 Add '16' to each side of the equation. -16 + 16 + -15x = 22 + 16 Combine like terms: -16 + 16 = 0 0 + -15x = 22 + 16 -15x = 22 + 16 Combine like terms: 22 + 16 = 38 -15x = 38 Divide each side by '-15'. x = -2.533333333 Simplifying x = -2.533333333
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