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Simplifying -189 = -5x + 7(-4x + 6) Reorder the terms: -189 = -5x + 7(6 + -4x) -189 = -5x + (6 * 7 + -4x * 7) -189 = -5x + (42 + -28x) Reorder the terms: -189 = 42 + -5x + -28x Combine like terms: -5x + -28x = -33x -189 = 42 + -33x Solving -189 = 42 + -33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33x' to each side of the equation. -189 + 33x = 42 + -33x + 33x Combine like terms: -33x + 33x = 0 -189 + 33x = 42 + 0 -189 + 33x = 42 Add '189' to each side of the equation. -189 + 189 + 33x = 42 + 189 Combine like terms: -189 + 189 = 0 0 + 33x = 42 + 189 33x = 42 + 189 Combine like terms: 42 + 189 = 231 33x = 231 Divide each side by '33'. x = 7 Simplifying x = 7
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