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Simplifying 8(x + 4) + -4(16 + -4x) = 6(x + -8) Reorder the terms: 8(4 + x) + -4(16 + -4x) = 6(x + -8) (4 * 8 + x * 8) + -4(16 + -4x) = 6(x + -8) (32 + 8x) + -4(16 + -4x) = 6(x + -8) 32 + 8x + (16 * -4 + -4x * -4) = 6(x + -8) 32 + 8x + (-64 + 16x) = 6(x + -8) Reorder the terms: 32 + -64 + 8x + 16x = 6(x + -8) Combine like terms: 32 + -64 = -32 -32 + 8x + 16x = 6(x + -8) Combine like terms: 8x + 16x = 24x -32 + 24x = 6(x + -8) Reorder the terms: -32 + 24x = 6(-8 + x) -32 + 24x = (-8 * 6 + x * 6) -32 + 24x = (-48 + 6x) Solving -32 + 24x = -48 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -32 + 24x + -6x = -48 + 6x + -6x Combine like terms: 24x + -6x = 18x -32 + 18x = -48 + 6x + -6x Combine like terms: 6x + -6x = 0 -32 + 18x = -48 + 0 -32 + 18x = -48 Add '32' to each side of the equation. -32 + 32 + 18x = -48 + 32 Combine like terms: -32 + 32 = 0 0 + 18x = -48 + 32 18x = -48 + 32 Combine like terms: -48 + 32 = -16 18x = -16 Divide each side by '18'. x = -0.8888888889 Simplifying x = -0.8888888889
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