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Simplifying 2 + -4(x + 2) = 8(x + -7) Reorder the terms: 2 + -4(2 + x) = 8(x + -7) 2 + (2 * -4 + x * -4) = 8(x + -7) 2 + (-8 + -4x) = 8(x + -7) Combine like terms: 2 + -8 = -6 -6 + -4x = 8(x + -7) Reorder the terms: -6 + -4x = 8(-7 + x) -6 + -4x = (-7 * 8 + x * 8) -6 + -4x = (-56 + 8x) Solving -6 + -4x = -56 + 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. -6 + -4x + -8x = -56 + 8x + -8x Combine like terms: -4x + -8x = -12x -6 + -12x = -56 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -12x = -56 + 0 -6 + -12x = -56 Add '6' to each side of the equation. -6 + 6 + -12x = -56 + 6 Combine like terms: -6 + 6 = 0 0 + -12x = -56 + 6 -12x = -56 + 6 Combine like terms: -56 + 6 = -50 -12x = -50 Divide each side by '-12'. x = 4.166666667 Simplifying x = 4.166666667
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