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Simplifying -2x + -5x + 12 + -2 = 6x + 6x + -9 Reorder the terms: 12 + -2 + -2x + -5x = 6x + 6x + -9 Combine like terms: 12 + -2 = 10 10 + -2x + -5x = 6x + 6x + -9 Combine like terms: -2x + -5x = -7x 10 + -7x = 6x + 6x + -9 Reorder the terms: 10 + -7x = -9 + 6x + 6x Combine like terms: 6x + 6x = 12x 10 + -7x = -9 + 12x Solving 10 + -7x = -9 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 10 + -7x + -12x = -9 + 12x + -12x Combine like terms: -7x + -12x = -19x 10 + -19x = -9 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + -19x = -9 + 0 10 + -19x = -9 Add '-10' to each side of the equation. 10 + -10 + -19x = -9 + -10 Combine like terms: 10 + -10 = 0 0 + -19x = -9 + -10 -19x = -9 + -10 Combine like terms: -9 + -10 = -19 -19x = -19 Divide each side by '-19'. x = 1 Simplifying x = 1
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