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Simplifying -6x + 12 + 10x + -7 = 14x + -9 + -4x Reorder the terms: 12 + -7 + -6x + 10x = 14x + -9 + -4x Combine like terms: 12 + -7 = 5 5 + -6x + 10x = 14x + -9 + -4x Combine like terms: -6x + 10x = 4x 5 + 4x = 14x + -9 + -4x Reorder the terms: 5 + 4x = -9 + 14x + -4x Combine like terms: 14x + -4x = 10x 5 + 4x = -9 + 10x Solving 5 + 4x = -9 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 5 + 4x + -10x = -9 + 10x + -10x Combine like terms: 4x + -10x = -6x 5 + -6x = -9 + 10x + -10x Combine like terms: 10x + -10x = 0 5 + -6x = -9 + 0 5 + -6x = -9 Add '-5' to each side of the equation. 5 + -5 + -6x = -9 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = -9 + -5 -6x = -9 + -5 Combine like terms: -9 + -5 = -14 -6x = -14 Divide each side by '-6'. x = 2.333333333 Simplifying x = 2.333333333
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