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Simplifying 5x + -1(9x + 14) = 6 + -1(14x + -9) Reorder the terms: 5x + -1(14 + 9x) = 6 + -1(14x + -9) 5x + (14 * -1 + 9x * -1) = 6 + -1(14x + -9) 5x + (-14 + -9x) = 6 + -1(14x + -9) Reorder the terms: -14 + 5x + -9x = 6 + -1(14x + -9) Combine like terms: 5x + -9x = -4x -14 + -4x = 6 + -1(14x + -9) Reorder the terms: -14 + -4x = 6 + -1(-9 + 14x) -14 + -4x = 6 + (-9 * -1 + 14x * -1) -14 + -4x = 6 + (9 + -14x) Combine like terms: 6 + 9 = 15 -14 + -4x = 15 + -14x Solving -14 + -4x = 15 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -14 + -4x + 14x = 15 + -14x + 14x Combine like terms: -4x + 14x = 10x -14 + 10x = 15 + -14x + 14x Combine like terms: -14x + 14x = 0 -14 + 10x = 15 + 0 -14 + 10x = 15 Add '14' to each side of the equation. -14 + 14 + 10x = 15 + 14 Combine like terms: -14 + 14 = 0 0 + 10x = 15 + 14 10x = 15 + 14 Combine like terms: 15 + 14 = 29 10x = 29 Divide each side by '10'. x = 2.9 Simplifying x = 2.9
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