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Simplifying 4x + -2 = -5(x + 6) Reorder the terms: -2 + 4x = -5(x + 6) Reorder the terms: -2 + 4x = -5(6 + x) -2 + 4x = (6 * -5 + x * -5) -2 + 4x = (-30 + -5x) Solving -2 + 4x = -30 + -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. -2 + 4x + 5x = -30 + -5x + 5x Combine like terms: 4x + 5x = 9x -2 + 9x = -30 + -5x + 5x Combine like terms: -5x + 5x = 0 -2 + 9x = -30 + 0 -2 + 9x = -30 Add '2' to each side of the equation. -2 + 2 + 9x = -30 + 2 Combine like terms: -2 + 2 = 0 0 + 9x = -30 + 2 9x = -30 + 2 Combine like terms: -30 + 2 = -28 9x = -28 Divide each side by '9'. x = -3.111111111 Simplifying x = -3.111111111
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