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Simplifying 7x + -12 + 9x + -5 + -6x + 8 = -3x + 4 Reorder the terms: -12 + -5 + 8 + 7x + 9x + -6x = -3x + 4 Combine like terms: -12 + -5 = -17 -17 + 8 + 7x + 9x + -6x = -3x + 4 Combine like terms: -17 + 8 = -9 -9 + 7x + 9x + -6x = -3x + 4 Combine like terms: 7x + 9x = 16x -9 + 16x + -6x = -3x + 4 Combine like terms: 16x + -6x = 10x -9 + 10x = -3x + 4 Reorder the terms: -9 + 10x = 4 + -3x Solving -9 + 10x = 4 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -9 + 10x + 3x = 4 + -3x + 3x Combine like terms: 10x + 3x = 13x -9 + 13x = 4 + -3x + 3x Combine like terms: -3x + 3x = 0 -9 + 13x = 4 + 0 -9 + 13x = 4 Add '9' to each side of the equation. -9 + 9 + 13x = 4 + 9 Combine like terms: -9 + 9 = 0 0 + 13x = 4 + 9 13x = 4 + 9 Combine like terms: 4 + 9 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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