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Simplifying -4(1 + x) = 6(8 + -5x) (1 * -4 + x * -4) = 6(8 + -5x) (-4 + -4x) = 6(8 + -5x) -4 + -4x = (8 * 6 + -5x * 6) -4 + -4x = (48 + -30x) Solving -4 + -4x = 48 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -4 + -4x + 30x = 48 + -30x + 30x Combine like terms: -4x + 30x = 26x -4 + 26x = 48 + -30x + 30x Combine like terms: -30x + 30x = 0 -4 + 26x = 48 + 0 -4 + 26x = 48 Add '4' to each side of the equation. -4 + 4 + 26x = 48 + 4 Combine like terms: -4 + 4 = 0 0 + 26x = 48 + 4 26x = 48 + 4 Combine like terms: 48 + 4 = 52 26x = 52 Divide each side by '26'. x = 2 Simplifying x = 2
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