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Simplifying 5x + -1(x + 4) = 9x + 6 Reorder the terms: 5x + -1(4 + x) = 9x + 6 5x + (4 * -1 + x * -1) = 9x + 6 5x + (-4 + -1x) = 9x + 6 Reorder the terms: -4 + 5x + -1x = 9x + 6 Combine like terms: 5x + -1x = 4x -4 + 4x = 9x + 6 Reorder the terms: -4 + 4x = 6 + 9x Solving -4 + 4x = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -4 + 4x + -9x = 6 + 9x + -9x Combine like terms: 4x + -9x = -5x -4 + -5x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 -4 + -5x = 6 + 0 -4 + -5x = 6 Add '4' to each side of the equation. -4 + 4 + -5x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 6 + 4 -5x = 6 + 4 Combine like terms: 6 + 4 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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