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Simplifying 6x + -1[5x + 8] = 5 + -7x Reorder the terms: 6x + -1[8 + 5x] = 5 + -7x 6x + [8 * -1 + 5x * -1] = 5 + -7x 6x + [-8 + -5x] = 5 + -7x Reorder the terms: -8 + 6x + -5x = 5 + -7x Combine like terms: 6x + -5x = 1x -8 + 1x = 5 + -7x Solving -8 + 1x = 5 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -8 + 1x + 7x = 5 + -7x + 7x Combine like terms: 1x + 7x = 8x -8 + 8x = 5 + -7x + 7x Combine like terms: -7x + 7x = 0 -8 + 8x = 5 + 0 -8 + 8x = 5 Add '8' to each side of the equation. -8 + 8 + 8x = 5 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 5 + 8 8x = 5 + 8 Combine like terms: 5 + 8 = 13 8x = 13 Divide each side by '8'. x = 1.625 Simplifying x = 1.625
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