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Simplifying 7(5x + 8) + -6(8 + 5x) = 8x + -7x Reorder the terms: 7(8 + 5x) + -6(8 + 5x) = 8x + -7x (8 * 7 + 5x * 7) + -6(8 + 5x) = 8x + -7x (56 + 35x) + -6(8 + 5x) = 8x + -7x 56 + 35x + (8 * -6 + 5x * -6) = 8x + -7x 56 + 35x + (-48 + -30x) = 8x + -7x Reorder the terms: 56 + -48 + 35x + -30x = 8x + -7x Combine like terms: 56 + -48 = 8 8 + 35x + -30x = 8x + -7x Combine like terms: 35x + -30x = 5x 8 + 5x = 8x + -7x Combine like terms: 8x + -7x = 1x 8 + 5x = 1x Solving 8 + 5x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 8 + 5x + -1x = 1x + -1x Combine like terms: 5x + -1x = 4x 8 + 4x = 1x + -1x Combine like terms: 1x + -1x = 0 8 + 4x = 0 Add '-8' to each side of the equation. 8 + -8 + 4x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 0 + -8 4x = 0 + -8 Combine like terms: 0 + -8 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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