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Simplifying 6 + -6(8 + 7x) = 30 + -6x 6 + (8 * -6 + 7x * -6) = 30 + -6x 6 + (-48 + -42x) = 30 + -6x Combine like terms: 6 + -48 = -42 -42 + -42x = 30 + -6x Solving -42 + -42x = 30 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -42 + -42x + 6x = 30 + -6x + 6x Combine like terms: -42x + 6x = -36x -42 + -36x = 30 + -6x + 6x Combine like terms: -6x + 6x = 0 -42 + -36x = 30 + 0 -42 + -36x = 30 Add '42' to each side of the equation. -42 + 42 + -36x = 30 + 42 Combine like terms: -42 + 42 = 0 0 + -36x = 30 + 42 -36x = 30 + 42 Combine like terms: 30 + 42 = 72 -36x = 72 Divide each side by '-36'. x = -2 Simplifying x = -2
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