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Simplifying 2x + -6 = 3(x + -7) + 8x Reorder the terms: -6 + 2x = 3(x + -7) + 8x Reorder the terms: -6 + 2x = 3(-7 + x) + 8x -6 + 2x = (-7 * 3 + x * 3) + 8x -6 + 2x = (-21 + 3x) + 8x Combine like terms: 3x + 8x = 11x -6 + 2x = -21 + 11x Solving -6 + 2x = -21 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -6 + 2x + -11x = -21 + 11x + -11x Combine like terms: 2x + -11x = -9x -6 + -9x = -21 + 11x + -11x Combine like terms: 11x + -11x = 0 -6 + -9x = -21 + 0 -6 + -9x = -21 Add '6' to each side of the equation. -6 + 6 + -9x = -21 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = -21 + 6 -9x = -21 + 6 Combine like terms: -21 + 6 = -15 -9x = -15 Divide each side by '-9'. x = 1.666666667 Simplifying x = 1.666666667
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