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Simplifying (x + -7) + -10 = 12 + -4x Reorder the terms: (-7 + x) + -10 = 12 + -4x Remove parenthesis around (-7 + x) -7 + x + -10 = 12 + -4x Reorder the terms: -7 + -10 + x = 12 + -4x Combine like terms: -7 + -10 = -17 -17 + x = 12 + -4x Solving -17 + x = 12 + -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. -17 + x + 4x = 12 + -4x + 4x Combine like terms: x + 4x = 5x -17 + 5x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -17 + 5x = 12 + 0 -17 + 5x = 12 Add '17' to each side of the equation. -17 + 17 + 5x = 12 + 17 Combine like terms: -17 + 17 = 0 0 + 5x = 12 + 17 5x = 12 + 17 Combine like terms: 12 + 17 = 29 5x = 29 Divide each side by '5'. x = 5.8 Simplifying x = 5.8
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