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Simplifying 9x + -21 + (-6x) + 12 = 4x + -4 + 6x + -17 Reorder the terms: -21 + 12 + 9x + (-6x) = 4x + -4 + 6x + -17 Combine like terms: -21 + 12 = -9 -9 + 9x + (-6x) = 4x + -4 + 6x + -17 Combine like terms: 9x + (-6x) = 3x -9 + 3x = 4x + -4 + 6x + -17 Reorder the terms: -9 + 3x = -4 + -17 + 4x + 6x Combine like terms: -4 + -17 = -21 -9 + 3x = -21 + 4x + 6x Combine like terms: 4x + 6x = 10x -9 + 3x = -21 + 10x Solving -9 + 3x = -21 + 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. -9 + 3x + -10x = -21 + 10x + -10x Combine like terms: 3x + -10x = -7x -9 + -7x = -21 + 10x + -10x Combine like terms: 10x + -10x = 0 -9 + -7x = -21 + 0 -9 + -7x = -21 Add '9' to each side of the equation. -9 + 9 + -7x = -21 + 9 Combine like terms: -9 + 9 = 0 0 + -7x = -21 + 9 -7x = -21 + 9 Combine like terms: -21 + 9 = -12 -7x = -12 Divide each side by '-7'. x = 1.714285714 Simplifying x = 1.714285714
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