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Simplifying -1(4 + -6x) + -1(4x + 5) + -6x = 7 (4 * -1 + -6x * -1) + -1(4x + 5) + -6x = 7 (-4 + 6x) + -1(4x + 5) + -6x = 7 Reorder the terms: -4 + 6x + -1(5 + 4x) + -6x = 7 -4 + 6x + (5 * -1 + 4x * -1) + -6x = 7 -4 + 6x + (-5 + -4x) + -6x = 7 Reorder the terms: -4 + -5 + 6x + -4x + -6x = 7 Combine like terms: -4 + -5 = -9 -9 + 6x + -4x + -6x = 7 Combine like terms: 6x + -4x = 2x -9 + 2x + -6x = 7 Combine like terms: 2x + -6x = -4x -9 + -4x = 7 Solving -9 + -4x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -4x = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = 7 + 9 -4x = 7 + 9 Combine like terms: 7 + 9 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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