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