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Simplifying 4(x + -2) = 4 + -1(5x + 2) Reorder the terms: 4(-2 + x) = 4 + -1(5x + 2) (-2 * 4 + x * 4) = 4 + -1(5x + 2) (-8 + 4x) = 4 + -1(5x + 2) Reorder the terms: -8 + 4x = 4 + -1(2 + 5x) -8 + 4x = 4 + (2 * -1 + 5x * -1) -8 + 4x = 4 + (-2 + -5x) Combine like terms: 4 + -2 = 2 -8 + 4x = 2 + -5x Solving -8 + 4x = 2 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -8 + 4x + 5x = 2 + -5x + 5x Combine like terms: 4x + 5x = 9x -8 + 9x = 2 + -5x + 5x Combine like terms: -5x + 5x = 0 -8 + 9x = 2 + 0 -8 + 9x = 2 Add '8' to each side of the equation. -8 + 8 + 9x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 9x = 2 + 8 9x = 2 + 8 Combine like terms: 2 + 8 = 10 9x = 10 Divide each side by '9'. x = 1.111111111 Simplifying x = 1.111111111
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