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Simplifying 2(x + -7) + -6x = 5x + 8 Reorder the terms: 2(-7 + x) + -6x = 5x + 8 (-7 * 2 + x * 2) + -6x = 5x + 8 (-14 + 2x) + -6x = 5x + 8 Combine like terms: 2x + -6x = -4x -14 + -4x = 5x + 8 Reorder the terms: -14 + -4x = 8 + 5x Solving -14 + -4x = 8 + 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. -14 + -4x + -5x = 8 + 5x + -5x Combine like terms: -4x + -5x = -9x -14 + -9x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + -9x = 8 + 0 -14 + -9x = 8 Add '14' to each side of the equation. -14 + 14 + -9x = 8 + 14 Combine like terms: -14 + 14 = 0 0 + -9x = 8 + 14 -9x = 8 + 14 Combine like terms: 8 + 14 = 22 -9x = 22 Divide each side by '-9'. x = -2.444444444 Simplifying x = -2.444444444
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