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Simplifying 5x + -1(x + -5) = 7x + 14 Reorder the terms: 5x + -1(-5 + x) = 7x + 14 5x + (-5 * -1 + x * -1) = 7x + 14 5x + (5 + -1x) = 7x + 14 Reorder the terms: 5 + 5x + -1x = 7x + 14 Combine like terms: 5x + -1x = 4x 5 + 4x = 7x + 14 Reorder the terms: 5 + 4x = 14 + 7x Solving 5 + 4x = 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. 5 + 4x + -7x = 14 + 7x + -7x Combine like terms: 4x + -7x = -3x 5 + -3x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + -3x = 14 + 0 5 + -3x = 14 Add '-5' to each side of the equation. 5 + -5 + -3x = 14 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 14 + -5 -3x = 14 + -5 Combine like terms: 14 + -5 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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