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Simplifying 4(x + -6) + 8x = 4x + 40 Reorder the terms: 4(-6 + x) + 8x = 4x + 40 (-6 * 4 + x * 4) + 8x = 4x + 40 (-24 + 4x) + 8x = 4x + 40 Combine like terms: 4x + 8x = 12x -24 + 12x = 4x + 40 Reorder the terms: -24 + 12x = 40 + 4x Solving -24 + 12x = 40 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -24 + 12x + -4x = 40 + 4x + -4x Combine like terms: 12x + -4x = 8x -24 + 8x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 + 8x = 40 + 0 -24 + 8x = 40 Add '24' to each side of the equation. -24 + 24 + 8x = 40 + 24 Combine like terms: -24 + 24 = 0 0 + 8x = 40 + 24 8x = 40 + 24 Combine like terms: 40 + 24 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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