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Simplifying 7x + -1(4x + 8) = 9x + -14 Reorder the terms: 7x + -1(8 + 4x) = 9x + -14 7x + (8 * -1 + 4x * -1) = 9x + -14 7x + (-8 + -4x) = 9x + -14 Reorder the terms: -8 + 7x + -4x = 9x + -14 Combine like terms: 7x + -4x = 3x -8 + 3x = 9x + -14 Reorder the terms: -8 + 3x = -14 + 9x Solving -8 + 3x = -14 + 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. -8 + 3x + -9x = -14 + 9x + -9x Combine like terms: 3x + -9x = -6x -8 + -6x = -14 + 9x + -9x Combine like terms: 9x + -9x = 0 -8 + -6x = -14 + 0 -8 + -6x = -14 Add '8' to each side of the equation. -8 + 8 + -6x = -14 + 8 Combine like terms: -8 + 8 = 0 0 + -6x = -14 + 8 -6x = -14 + 8 Combine like terms: -14 + 8 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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