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Simplifying 8x + -6(7x + 6) = 30 + -1x Reorder the terms: 8x + -6(6 + 7x) = 30 + -1x 8x + (6 * -6 + 7x * -6) = 30 + -1x 8x + (-36 + -42x) = 30 + -1x Reorder the terms: -36 + 8x + -42x = 30 + -1x Combine like terms: 8x + -42x = -34x -36 + -34x = 30 + -1x Solving -36 + -34x = 30 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -36 + -34x + x = 30 + -1x + x Combine like terms: -34x + x = -33x -36 + -33x = 30 + -1x + x Combine like terms: -1x + x = 0 -36 + -33x = 30 + 0 -36 + -33x = 30 Add '36' to each side of the equation. -36 + 36 + -33x = 30 + 36 Combine like terms: -36 + 36 = 0 0 + -33x = 30 + 36 -33x = 30 + 36 Combine like terms: 30 + 36 = 66 -33x = 66 Divide each side by '-33'. x = -2 Simplifying x = -2
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