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Simplifying 5x + 9(x + -1) = 4x + 6 Reorder the terms: 5x + 9(-1 + x) = 4x + 6 5x + (-1 * 9 + x * 9) = 4x + 6 5x + (-9 + 9x) = 4x + 6 Reorder the terms: -9 + 5x + 9x = 4x + 6 Combine like terms: 5x + 9x = 14x -9 + 14x = 4x + 6 Reorder the terms: -9 + 14x = 6 + 4x Solving -9 + 14x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -9 + 14x + -4x = 6 + 4x + -4x Combine like terms: 14x + -4x = 10x -9 + 10x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + 10x = 6 + 0 -9 + 10x = 6 Add '9' to each side of the equation. -9 + 9 + 10x = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 10x = 6 + 9 10x = 6 + 9 Combine like terms: 6 + 9 = 15 10x = 15 Divide each side by '10'. x = 1.5 Simplifying x = 1.5
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