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Simplifying 5x + -8x + 14 = 12x + -16 Reorder the terms: 14 + 5x + -8x = 12x + -16 Combine like terms: 5x + -8x = -3x 14 + -3x = 12x + -16 Reorder the terms: 14 + -3x = -16 + 12x Solving 14 + -3x = -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. 14 + -3x + -12x = -16 + 12x + -12x Combine like terms: -3x + -12x = -15x 14 + -15x = -16 + 12x + -12x Combine like terms: 12x + -12x = 0 14 + -15x = -16 + 0 14 + -15x = -16 Add '-14' to each side of the equation. 14 + -14 + -15x = -16 + -14 Combine like terms: 14 + -14 = 0 0 + -15x = -16 + -14 -15x = -16 + -14 Combine like terms: -16 + -14 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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