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Simplifying -6(x + 2) + 2x + 7 = 5x + 6 Reorder the terms: -6(2 + x) + 2x + 7 = 5x + 6 (2 * -6 + x * -6) + 2x + 7 = 5x + 6 (-12 + -6x) + 2x + 7 = 5x + 6 Reorder the terms: -12 + 7 + -6x + 2x = 5x + 6 Combine like terms: -12 + 7 = -5 -5 + -6x + 2x = 5x + 6 Combine like terms: -6x + 2x = -4x -5 + -4x = 5x + 6 Reorder the terms: -5 + -4x = 6 + 5x Solving -5 + -4x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + -4x + -5x = 6 + 5x + -5x Combine like terms: -4x + -5x = -9x -5 + -9x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -9x = 6 + 0 -5 + -9x = 6 Add '5' to each side of the equation. -5 + 5 + -9x = 6 + 5 Combine like terms: -5 + 5 = 0 0 + -9x = 6 + 5 -9x = 6 + 5 Combine like terms: 6 + 5 = 11 -9x = 11 Divide each side by '-9'. x = -1.222222222 Simplifying x = -1.222222222
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