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Simplifying 8(x + -8) = -8 + 6(x + -4) Reorder the terms: 8(-8 + x) = -8 + 6(x + -4) (-8 * 8 + x * 8) = -8 + 6(x + -4) (-64 + 8x) = -8 + 6(x + -4) Reorder the terms: -64 + 8x = -8 + 6(-4 + x) -64 + 8x = -8 + (-4 * 6 + x * 6) -64 + 8x = -8 + (-24 + 6x) Combine like terms: -8 + -24 = -32 -64 + 8x = -32 + 6x Solving -64 + 8x = -32 + 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. -64 + 8x + -6x = -32 + 6x + -6x Combine like terms: 8x + -6x = 2x -64 + 2x = -32 + 6x + -6x Combine like terms: 6x + -6x = 0 -64 + 2x = -32 + 0 -64 + 2x = -32 Add '64' to each side of the equation. -64 + 64 + 2x = -32 + 64 Combine like terms: -64 + 64 = 0 0 + 2x = -32 + 64 2x = -32 + 64 Combine like terms: -32 + 64 = 32 2x = 32 Divide each side by '2'. x = 16 Simplifying x = 16
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