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Simplifying -3x + -2(x + 6) + 7 = 7x + -9 Reorder the terms: -3x + -2(6 + x) + 7 = 7x + -9 -3x + (6 * -2 + x * -2) + 7 = 7x + -9 -3x + (-12 + -2x) + 7 = 7x + -9 Reorder the terms: -12 + 7 + -3x + -2x = 7x + -9 Combine like terms: -12 + 7 = -5 -5 + -3x + -2x = 7x + -9 Combine like terms: -3x + -2x = -5x -5 + -5x = 7x + -9 Reorder the terms: -5 + -5x = -9 + 7x Solving -5 + -5x = -9 + 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. -5 + -5x + -7x = -9 + 7x + -7x Combine like terms: -5x + -7x = -12x -5 + -12x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + -12x = -9 + 0 -5 + -12x = -9 Add '5' to each side of the equation. -5 + 5 + -12x = -9 + 5 Combine like terms: -5 + 5 = 0 0 + -12x = -9 + 5 -12x = -9 + 5 Combine like terms: -9 + 5 = -4 -12x = -4 Divide each side by '-12'. x = 0.3333333333 Simplifying x = 0.3333333333
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