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Simplifying 6x + -1(7x + 9) = 2x + -30 Reorder the terms: 6x + -1(9 + 7x) = 2x + -30 6x + (9 * -1 + 7x * -1) = 2x + -30 6x + (-9 + -7x) = 2x + -30 Reorder the terms: -9 + 6x + -7x = 2x + -30 Combine like terms: 6x + -7x = -1x -9 + -1x = 2x + -30 Reorder the terms: -9 + -1x = -30 + 2x Solving -9 + -1x = -30 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -9 + -1x + -2x = -30 + 2x + -2x Combine like terms: -1x + -2x = -3x -9 + -3x = -30 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + -3x = -30 + 0 -9 + -3x = -30 Add '9' to each side of the equation. -9 + 9 + -3x = -30 + 9 Combine like terms: -9 + 9 = 0 0 + -3x = -30 + 9 -3x = -30 + 9 Combine like terms: -30 + 9 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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