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Simplifying 4(x + -8) = 8x + 2(x + 2) Reorder the terms: 4(-8 + x) = 8x + 2(x + 2) (-8 * 4 + x * 4) = 8x + 2(x + 2) (-32 + 4x) = 8x + 2(x + 2) Reorder the terms: -32 + 4x = 8x + 2(2 + x) -32 + 4x = 8x + (2 * 2 + x * 2) -32 + 4x = 8x + (4 + 2x) Reorder the terms: -32 + 4x = 4 + 8x + 2x Combine like terms: 8x + 2x = 10x -32 + 4x = 4 + 10x Solving -32 + 4x = 4 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -32 + 4x + -10x = 4 + 10x + -10x Combine like terms: 4x + -10x = -6x -32 + -6x = 4 + 10x + -10x Combine like terms: 10x + -10x = 0 -32 + -6x = 4 + 0 -32 + -6x = 4 Add '32' to each side of the equation. -32 + 32 + -6x = 4 + 32 Combine like terms: -32 + 32 = 0 0 + -6x = 4 + 32 -6x = 4 + 32 Combine like terms: 4 + 32 = 36 -6x = 36 Divide each side by '-6'. x = -6 Simplifying x = -6
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