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Simplifying 6 + 8(x + -4) = 11 + -8(x + -2) Reorder the terms: 6 + 8(-4 + x) = 11 + -8(x + -2) 6 + (-4 * 8 + x * 8) = 11 + -8(x + -2) 6 + (-32 + 8x) = 11 + -8(x + -2) Combine like terms: 6 + -32 = -26 -26 + 8x = 11 + -8(x + -2) Reorder the terms: -26 + 8x = 11 + -8(-2 + x) -26 + 8x = 11 + (-2 * -8 + x * -8) -26 + 8x = 11 + (16 + -8x) Combine like terms: 11 + 16 = 27 -26 + 8x = 27 + -8x Solving -26 + 8x = 27 + -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. -26 + 8x + 8x = 27 + -8x + 8x Combine like terms: 8x + 8x = 16x -26 + 16x = 27 + -8x + 8x Combine like terms: -8x + 8x = 0 -26 + 16x = 27 + 0 -26 + 16x = 27 Add '26' to each side of the equation. -26 + 26 + 16x = 27 + 26 Combine like terms: -26 + 26 = 0 0 + 16x = 27 + 26 16x = 27 + 26 Combine like terms: 27 + 26 = 53 16x = 53 Divide each side by '16'. x = 3.3125 Simplifying x = 3.3125
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