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Simplifying 7(x + 8) = -1(7x + -8) + 6x Reorder the terms: 7(8 + x) = -1(7x + -8) + 6x (8 * 7 + x * 7) = -1(7x + -8) + 6x (56 + 7x) = -1(7x + -8) + 6x Reorder the terms: 56 + 7x = -1(-8 + 7x) + 6x 56 + 7x = (-8 * -1 + 7x * -1) + 6x 56 + 7x = (8 + -7x) + 6x Combine like terms: -7x + 6x = -1x 56 + 7x = 8 + -1x Solving 56 + 7x = 8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 56 + 7x + x = 8 + -1x + x Combine like terms: 7x + x = 8x 56 + 8x = 8 + -1x + x Combine like terms: -1x + x = 0 56 + 8x = 8 + 0 56 + 8x = 8 Add '-56' to each side of the equation. 56 + -56 + 8x = 8 + -56 Combine like terms: 56 + -56 = 0 0 + 8x = 8 + -56 8x = 8 + -56 Combine like terms: 8 + -56 = -48 8x = -48 Divide each side by '8'. x = -6 Simplifying x = -6
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