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Simplifying 8(x + 7) = 6(x + -4) Reorder the terms: 8(7 + x) = 6(x + -4) (7 * 8 + x * 8) = 6(x + -4) (56 + 8x) = 6(x + -4) Reorder the terms: 56 + 8x = 6(-4 + x) 56 + 8x = (-4 * 6 + x * 6) 56 + 8x = (-24 + 6x) Solving 56 + 8x = -24 + 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. 56 + 8x + -6x = -24 + 6x + -6x Combine like terms: 8x + -6x = 2x 56 + 2x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 56 + 2x = -24 + 0 56 + 2x = -24 Add '-56' to each side of the equation. 56 + -56 + 2x = -24 + -56 Combine like terms: 56 + -56 = 0 0 + 2x = -24 + -56 2x = -24 + -56 Combine like terms: -24 + -56 = -80 2x = -80 Divide each side by '2'. x = -40 Simplifying x = -40
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