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Simplifying 8(x + 5) = 6(x + -2) Reorder the terms: 8(5 + x) = 6(x + -2) (5 * 8 + x * 8) = 6(x + -2) (40 + 8x) = 6(x + -2) Reorder the terms: 40 + 8x = 6(-2 + x) 40 + 8x = (-2 * 6 + x * 6) 40 + 8x = (-12 + 6x) Solving 40 + 8x = -12 + 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. 40 + 8x + -6x = -12 + 6x + -6x Combine like terms: 8x + -6x = 2x 40 + 2x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 40 + 2x = -12 + 0 40 + 2x = -12 Add '-40' to each side of the equation. 40 + -40 + 2x = -12 + -40 Combine like terms: 40 + -40 = 0 0 + 2x = -12 + -40 2x = -12 + -40 Combine like terms: -12 + -40 = -52 2x = -52 Divide each side by '2'. x = -26 Simplifying x = -26
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