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Simplifying 3x + 5 + 12x + 7x = -14x + -12 + 1 Reorder the terms: 5 + 3x + 12x + 7x = -14x + -12 + 1 Combine like terms: 3x + 12x = 15x 5 + 15x + 7x = -14x + -12 + 1 Combine like terms: 15x + 7x = 22x 5 + 22x = -14x + -12 + 1 Reorder the terms: 5 + 22x = -12 + 1 + -14x Combine like terms: -12 + 1 = -11 5 + 22x = -11 + -14x Solving 5 + 22x = -11 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 5 + 22x + 14x = -11 + -14x + 14x Combine like terms: 22x + 14x = 36x 5 + 36x = -11 + -14x + 14x Combine like terms: -14x + 14x = 0 5 + 36x = -11 + 0 5 + 36x = -11 Add '-5' to each side of the equation. 5 + -5 + 36x = -11 + -5 Combine like terms: 5 + -5 = 0 0 + 36x = -11 + -5 36x = -11 + -5 Combine like terms: -11 + -5 = -16 36x = -16 Divide each side by '36'. x = -0.4444444444 Simplifying x = -0.4444444444
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