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Simplifying 4x + -12 + 7 = 9x + 35 + 5 Reorder the terms: -12 + 7 + 4x = 9x + 35 + 5 Combine like terms: -12 + 7 = -5 -5 + 4x = 9x + 35 + 5 Reorder the terms: -5 + 4x = 35 + 5 + 9x Combine like terms: 35 + 5 = 40 -5 + 4x = 40 + 9x Solving -5 + 4x = 40 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -5 + 4x + -9x = 40 + 9x + -9x Combine like terms: 4x + -9x = -5x -5 + -5x = 40 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + -5x = 40 + 0 -5 + -5x = 40 Add '5' to each side of the equation. -5 + 5 + -5x = 40 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = 40 + 5 -5x = 40 + 5 Combine like terms: 40 + 5 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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