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Simplifying 6 + 6(x + -2) = 8 + -8(x + -4) Reorder the terms: 6 + 6(-2 + x) = 8 + -8(x + -4) 6 + (-2 * 6 + x * 6) = 8 + -8(x + -4) 6 + (-12 + 6x) = 8 + -8(x + -4) Combine like terms: 6 + -12 = -6 -6 + 6x = 8 + -8(x + -4) Reorder the terms: -6 + 6x = 8 + -8(-4 + x) -6 + 6x = 8 + (-4 * -8 + x * -8) -6 + 6x = 8 + (32 + -8x) Combine like terms: 8 + 32 = 40 -6 + 6x = 40 + -8x Solving -6 + 6x = 40 + -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 + 6x + 8x = 40 + -8x + 8x Combine like terms: 6x + 8x = 14x -6 + 14x = 40 + -8x + 8x Combine like terms: -8x + 8x = 0 -6 + 14x = 40 + 0 -6 + 14x = 40 Add '6' to each side of the equation. -6 + 6 + 14x = 40 + 6 Combine like terms: -6 + 6 = 0 0 + 14x = 40 + 6 14x = 40 + 6 Combine like terms: 40 + 6 = 46 14x = 46 Divide each side by '14'. x = 3.285714286 Simplifying x = 3.285714286
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