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Simplifying 8 + 8(x + -2) = 6 + -4(x + -4) Reorder the terms: 8 + 8(-2 + x) = 6 + -4(x + -4) 8 + (-2 * 8 + x * 8) = 6 + -4(x + -4) 8 + (-16 + 8x) = 6 + -4(x + -4) Combine like terms: 8 + -16 = -8 -8 + 8x = 6 + -4(x + -4) Reorder the terms: -8 + 8x = 6 + -4(-4 + x) -8 + 8x = 6 + (-4 * -4 + x * -4) -8 + 8x = 6 + (16 + -4x) Combine like terms: 6 + 16 = 22 -8 + 8x = 22 + -4x Solving -8 + 8x = 22 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -8 + 8x + 4x = 22 + -4x + 4x Combine like terms: 8x + 4x = 12x -8 + 12x = 22 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 12x = 22 + 0 -8 + 12x = 22 Add '8' to each side of the equation. -8 + 8 + 12x = 22 + 8 Combine like terms: -8 + 8 = 0 0 + 12x = 22 + 8 12x = 22 + 8 Combine like terms: 22 + 8 = 30 12x = 30 Divide each side by '12'. x = 2.5 Simplifying x = 2.5
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