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Simplifying 2(x + -7) + -3x = 8 + 3(2 + -4x) Reorder the terms: 2(-7 + x) + -3x = 8 + 3(2 + -4x) (-7 * 2 + x * 2) + -3x = 8 + 3(2 + -4x) (-14 + 2x) + -3x = 8 + 3(2 + -4x) Combine like terms: 2x + -3x = -1x -14 + -1x = 8 + 3(2 + -4x) -14 + -1x = 8 + (2 * 3 + -4x * 3) -14 + -1x = 8 + (6 + -12x) Combine like terms: 8 + 6 = 14 -14 + -1x = 14 + -12x Solving -14 + -1x = 14 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -14 + -1x + 12x = 14 + -12x + 12x Combine like terms: -1x + 12x = 11x -14 + 11x = 14 + -12x + 12x Combine like terms: -12x + 12x = 0 -14 + 11x = 14 + 0 -14 + 11x = 14 Add '14' to each side of the equation. -14 + 14 + 11x = 14 + 14 Combine like terms: -14 + 14 = 0 0 + 11x = 14 + 14 11x = 14 + 14 Combine like terms: 14 + 14 = 28 11x = 28 Divide each side by '11'. x = 2.545454545 Simplifying x = 2.545454545
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