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Simplifying 4(x + -2) = 4(6 + -1x) Reorder the terms: 4(-2 + x) = 4(6 + -1x) (-2 * 4 + x * 4) = 4(6 + -1x) (-8 + 4x) = 4(6 + -1x) -8 + 4x = (6 * 4 + -1x * 4) -8 + 4x = (24 + -4x) Solving -8 + 4x = 24 + -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. -8 + 4x + 4x = 24 + -4x + 4x Combine like terms: 4x + 4x = 8x -8 + 8x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 8x = 24 + 0 -8 + 8x = 24 Add '8' to each side of the equation. -8 + 8 + 8x = 24 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 24 + 8 8x = 24 + 8 Combine like terms: 24 + 8 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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