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Simplifying 10x + 12 = 4x + -17 Reorder the terms: 12 + 10x = 4x + -17 Reorder the terms: 12 + 10x = -17 + 4x Solving 12 + 10x = -17 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + 10x + -4x = -17 + 4x + -4x Combine like terms: 10x + -4x = 6x 12 + 6x = -17 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 6x = -17 + 0 12 + 6x = -17 Add '-12' to each side of the equation. 12 + -12 + 6x = -17 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = -17 + -12 6x = -17 + -12 Combine like terms: -17 + -12 = -29 6x = -29 Divide each side by '6'. x = -4.833333333 Simplifying x = -4.833333333
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