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Simplifying 9x + 6 + -12x = -7 + 2x + -12 + 5x Reorder the terms: 6 + 9x + -12x = -7 + 2x + -12 + 5x Combine like terms: 9x + -12x = -3x 6 + -3x = -7 + 2x + -12 + 5x Reorder the terms: 6 + -3x = -7 + -12 + 2x + 5x Combine like terms: -7 + -12 = -19 6 + -3x = -19 + 2x + 5x Combine like terms: 2x + 5x = 7x 6 + -3x = -19 + 7x Solving 6 + -3x = -19 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + -3x + -7x = -19 + 7x + -7x Combine like terms: -3x + -7x = -10x 6 + -10x = -19 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -10x = -19 + 0 6 + -10x = -19 Add '-6' to each side of the equation. 6 + -6 + -10x = -19 + -6 Combine like terms: 6 + -6 = 0 0 + -10x = -19 + -6 -10x = -19 + -6 Combine like terms: -19 + -6 = -25 -10x = -25 Divide each side by '-10'. x = 2.5 Simplifying x = 2.5
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