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Simplifying 9x + -1(5x + 6) = 7x + -30 Reorder the terms: 9x + -1(6 + 5x) = 7x + -30 9x + (6 * -1 + 5x * -1) = 7x + -30 9x + (-6 + -5x) = 7x + -30 Reorder the terms: -6 + 9x + -5x = 7x + -30 Combine like terms: 9x + -5x = 4x -6 + 4x = 7x + -30 Reorder the terms: -6 + 4x = -30 + 7x Solving -6 + 4x = -30 + 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. -6 + 4x + -7x = -30 + 7x + -7x Combine like terms: 4x + -7x = -3x -6 + -3x = -30 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -3x = -30 + 0 -6 + -3x = -30 Add '6' to each side of the equation. -6 + 6 + -3x = -30 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = -30 + 6 -3x = -30 + 6 Combine like terms: -30 + 6 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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