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Simplifying x + -1(9x + -7) = 4x + 30 Reorder the terms: x + -1(-7 + 9x) = 4x + 30 x + (-7 * -1 + 9x * -1) = 4x + 30 x + (7 + -9x) = 4x + 30 Reorder the terms: 7 + x + -9x = 4x + 30 Combine like terms: x + -9x = -8x 7 + -8x = 4x + 30 Reorder the terms: 7 + -8x = 30 + 4x Solving 7 + -8x = 30 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 7 + -8x + -4x = 30 + 4x + -4x Combine like terms: -8x + -4x = -12x 7 + -12x = 30 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + -12x = 30 + 0 7 + -12x = 30 Add '-7' to each side of the equation. 7 + -7 + -12x = 30 + -7 Combine like terms: 7 + -7 = 0 0 + -12x = 30 + -7 -12x = 30 + -7 Combine like terms: 30 + -7 = 23 -12x = 23 Divide each side by '-12'. x = -1.916666667 Simplifying x = -1.916666667
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