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Simplifying 4x + 14 + 6x = 12x + -16 Reorder the terms: 14 + 4x + 6x = 12x + -16 Combine like terms: 4x + 6x = 10x 14 + 10x = 12x + -16 Reorder the terms: 14 + 10x = -16 + 12x Solving 14 + 10x = -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 + 10x + -12x = -16 + 12x + -12x Combine like terms: 10x + -12x = -2x 14 + -2x = -16 + 12x + -12x Combine like terms: 12x + -12x = 0 14 + -2x = -16 + 0 14 + -2x = -16 Add '-14' to each side of the equation. 14 + -14 + -2x = -16 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = -16 + -14 -2x = -16 + -14 Combine like terms: -16 + -14 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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