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Simplifying -6(x + 2) + 3x + 7 = 8x + 11 Reorder the terms: -6(2 + x) + 3x + 7 = 8x + 11 (2 * -6 + x * -6) + 3x + 7 = 8x + 11 (-12 + -6x) + 3x + 7 = 8x + 11 Reorder the terms: -12 + 7 + -6x + 3x = 8x + 11 Combine like terms: -12 + 7 = -5 -5 + -6x + 3x = 8x + 11 Combine like terms: -6x + 3x = -3x -5 + -3x = 8x + 11 Reorder the terms: -5 + -3x = 11 + 8x Solving -5 + -3x = 11 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + -3x + -8x = 11 + 8x + -8x Combine like terms: -3x + -8x = -11x -5 + -11x = 11 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -11x = 11 + 0 -5 + -11x = 11 Add '5' to each side of the equation. -5 + 5 + -11x = 11 + 5 Combine like terms: -5 + 5 = 0 0 + -11x = 11 + 5 -11x = 11 + 5 Combine like terms: 11 + 5 = 16 -11x = 16 Divide each side by '-11'. x = -1.454545455 Simplifying x = -1.454545455
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