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Simplifying 4(x + -1) = 6 + -1(x + 8) Reorder the terms: 4(-1 + x) = 6 + -1(x + 8) (-1 * 4 + x * 4) = 6 + -1(x + 8) (-4 + 4x) = 6 + -1(x + 8) Reorder the terms: -4 + 4x = 6 + -1(8 + x) -4 + 4x = 6 + (8 * -1 + x * -1) -4 + 4x = 6 + (-8 + -1x) Combine like terms: 6 + -8 = -2 -4 + 4x = -2 + -1x Solving -4 + 4x = -2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -4 + 4x + x = -2 + -1x + x Combine like terms: 4x + x = 5x -4 + 5x = -2 + -1x + x Combine like terms: -1x + x = 0 -4 + 5x = -2 + 0 -4 + 5x = -2 Add '4' to each side of the equation. -4 + 4 + 5x = -2 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = -2 + 4 5x = -2 + 4 Combine like terms: -2 + 4 = 2 5x = 2 Divide each side by '5'. x = 0.4 Simplifying x = 0.4
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