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Simplifying -4(x + -8) + -7 = 7(x + -6) Reorder the terms: -4(-8 + x) + -7 = 7(x + -6) (-8 * -4 + x * -4) + -7 = 7(x + -6) (32 + -4x) + -7 = 7(x + -6) Reorder the terms: 32 + -7 + -4x = 7(x + -6) Combine like terms: 32 + -7 = 25 25 + -4x = 7(x + -6) Reorder the terms: 25 + -4x = 7(-6 + x) 25 + -4x = (-6 * 7 + x * 7) 25 + -4x = (-42 + 7x) Solving 25 + -4x = -42 + 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. 25 + -4x + -7x = -42 + 7x + -7x Combine like terms: -4x + -7x = -11x 25 + -11x = -42 + 7x + -7x Combine like terms: 7x + -7x = 0 25 + -11x = -42 + 0 25 + -11x = -42 Add '-25' to each side of the equation. 25 + -25 + -11x = -42 + -25 Combine like terms: 25 + -25 = 0 0 + -11x = -42 + -25 -11x = -42 + -25 Combine like terms: -42 + -25 = -67 -11x = -67 Divide each side by '-11'. x = 6.090909091 Simplifying x = 6.090909091
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