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Simplifying 4(x + -8) = 2x + 6 + -1x Reorder the terms: 4(-8 + x) = 2x + 6 + -1x (-8 * 4 + x * 4) = 2x + 6 + -1x (-32 + 4x) = 2x + 6 + -1x Reorder the terms: -32 + 4x = 6 + 2x + -1x Combine like terms: 2x + -1x = 1x -32 + 4x = 6 + 1x Solving -32 + 4x = 6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -32 + 4x + -1x = 6 + 1x + -1x Combine like terms: 4x + -1x = 3x -32 + 3x = 6 + 1x + -1x Combine like terms: 1x + -1x = 0 -32 + 3x = 6 + 0 -32 + 3x = 6 Add '32' to each side of the equation. -32 + 32 + 3x = 6 + 32 Combine like terms: -32 + 32 = 0 0 + 3x = 6 + 32 3x = 6 + 32 Combine like terms: 6 + 32 = 38 3x = 38 Divide each side by '3'. x = 12.66666667 Simplifying x = 12.66666667
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