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Simplifying 5x + -1(7x + 4) = 8x + 1 Reorder the terms: 5x + -1(4 + 7x) = 8x + 1 5x + (4 * -1 + 7x * -1) = 8x + 1 5x + (-4 + -7x) = 8x + 1 Reorder the terms: -4 + 5x + -7x = 8x + 1 Combine like terms: 5x + -7x = -2x -4 + -2x = 8x + 1 Reorder the terms: -4 + -2x = 1 + 8x Solving -4 + -2x = 1 + 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. -4 + -2x + -8x = 1 + 8x + -8x Combine like terms: -2x + -8x = -10x -4 + -10x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + -10x = 1 + 0 -4 + -10x = 1 Add '4' to each side of the equation. -4 + 4 + -10x = 1 + 4 Combine like terms: -4 + 4 = 0 0 + -10x = 1 + 4 -10x = 1 + 4 Combine like terms: 1 + 4 = 5 -10x = 5 Divide each side by '-10'. x = -0.5 Simplifying x = -0.5
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