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Simplifying -1(3x + 4) = 36 + 7x Reorder the terms: -1(4 + 3x) = 36 + 7x (4 * -1 + 3x * -1) = 36 + 7x (-4 + -3x) = 36 + 7x Solving -4 + -3x = 36 + 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. -4 + -3x + -7x = 36 + 7x + -7x Combine like terms: -3x + -7x = -10x -4 + -10x = 36 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -10x = 36 + 0 -4 + -10x = 36 Add '4' to each side of the equation. -4 + 4 + -10x = 36 + 4 Combine like terms: -4 + 4 = 0 0 + -10x = 36 + 4 -10x = 36 + 4 Combine like terms: 36 + 4 = 40 -10x = 40 Divide each side by '-10'. x = -4 Simplifying x = -4
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