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Simplifying 5x + -1(7x + -1) = 8x + 7 Reorder the terms: 5x + -1(-1 + 7x) = 8x + 7 5x + (-1 * -1 + 7x * -1) = 8x + 7 5x + (1 + -7x) = 8x + 7 Reorder the terms: 1 + 5x + -7x = 8x + 7 Combine like terms: 5x + -7x = -2x 1 + -2x = 8x + 7 Reorder the terms: 1 + -2x = 7 + 8x Solving 1 + -2x = 7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 1 + -2x + -8x = 7 + 8x + -8x Combine like terms: -2x + -8x = -10x 1 + -10x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -10x = 7 + 0 1 + -10x = 7 Add '-1' to each side of the equation. 1 + -1 + -10x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -10x = 7 + -1 -10x = 7 + -1 Combine like terms: 7 + -1 = 6 -10x = 6 Divide each side by '-10'. x = -0.6 Simplifying x = -0.6
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