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Simplifying (x + -6) = 8(5x + -6) Reorder the terms: (-6 + x) = 8(5x + -6) Remove parenthesis around (-6 + x) -6 + x = 8(5x + -6) Reorder the terms: -6 + x = 8(-6 + 5x) -6 + x = (-6 * 8 + 5x * 8) -6 + x = (-48 + 40x) Solving -6 + x = -48 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -6 + x + -40x = -48 + 40x + -40x Combine like terms: x + -40x = -39x -6 + -39x = -48 + 40x + -40x Combine like terms: 40x + -40x = 0 -6 + -39x = -48 + 0 -6 + -39x = -48 Add '6' to each side of the equation. -6 + 6 + -39x = -48 + 6 Combine like terms: -6 + 6 = 0 0 + -39x = -48 + 6 -39x = -48 + 6 Combine like terms: -48 + 6 = -42 -39x = -42 Divide each side by '-39'. x = 1.076923077 Simplifying x = 1.076923077
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