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Simplifying 5x + -1(4x + 2) = 7x + -14 Reorder the terms: 5x + -1(2 + 4x) = 7x + -14 5x + (2 * -1 + 4x * -1) = 7x + -14 5x + (-2 + -4x) = 7x + -14 Reorder the terms: -2 + 5x + -4x = 7x + -14 Combine like terms: 5x + -4x = 1x -2 + 1x = 7x + -14 Reorder the terms: -2 + 1x = -14 + 7x Solving -2 + 1x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + 1x + -7x = -14 + 7x + -7x Combine like terms: 1x + -7x = -6x -2 + -6x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -6x = -14 + 0 -2 + -6x = -14 Add '2' to each side of the equation. -2 + 2 + -6x = -14 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = -14 + 2 -6x = -14 + 2 Combine like terms: -14 + 2 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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