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Simplifying -8(x + -5) = -7(4 + 6x) Reorder the terms: -8(-5 + x) = -7(4 + 6x) (-5 * -8 + x * -8) = -7(4 + 6x) (40 + -8x) = -7(4 + 6x) 40 + -8x = (4 * -7 + 6x * -7) 40 + -8x = (-28 + -42x) Solving 40 + -8x = -28 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. 40 + -8x + 42x = -28 + -42x + 42x Combine like terms: -8x + 42x = 34x 40 + 34x = -28 + -42x + 42x Combine like terms: -42x + 42x = 0 40 + 34x = -28 + 0 40 + 34x = -28 Add '-40' to each side of the equation. 40 + -40 + 34x = -28 + -40 Combine like terms: 40 + -40 = 0 0 + 34x = -28 + -40 34x = -28 + -40 Combine like terms: -28 + -40 = -68 34x = -68 Divide each side by '34'. x = -2 Simplifying x = -2
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