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Simplifying 12 + -7x + -19 = 6x + 11 + -4x Reorder the terms: 12 + -19 + -7x = 6x + 11 + -4x Combine like terms: 12 + -19 = -7 -7 + -7x = 6x + 11 + -4x Reorder the terms: -7 + -7x = 11 + 6x + -4x Combine like terms: 6x + -4x = 2x -7 + -7x = 11 + 2x Solving -7 + -7x = 11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + -7x + -2x = 11 + 2x + -2x Combine like terms: -7x + -2x = -9x -7 + -9x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + -9x = 11 + 0 -7 + -9x = 11 Add '7' to each side of the equation. -7 + 7 + -9x = 11 + 7 Combine like terms: -7 + 7 = 0 0 + -9x = 11 + 7 -9x = 11 + 7 Combine like terms: 11 + 7 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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