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Simplifying 8(x + -4) = 6x + 22 Reorder the terms: 8(-4 + x) = 6x + 22 (-4 * 8 + x * 8) = 6x + 22 (-32 + 8x) = 6x + 22 Reorder the terms: -32 + 8x = 22 + 6x Solving -32 + 8x = 22 + 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 + 8x + -6x = 22 + 6x + -6x Combine like terms: 8x + -6x = 2x -32 + 2x = 22 + 6x + -6x Combine like terms: 6x + -6x = 0 -32 + 2x = 22 + 0 -32 + 2x = 22 Add '32' to each side of the equation. -32 + 32 + 2x = 22 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = 22 + 32 2x = 22 + 32 Combine like terms: 22 + 32 = 54 2x = 54 Divide each side by '2'. x = 27 Simplifying x = 27
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