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