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Simplifying 5x + -5 + -1(4x + -4) = -7x + -7 Reorder the terms: 5x + -5 + -1(-4 + 4x) = -7x + -7 5x + -5 + (-4 * -1 + 4x * -1) = -7x + -7 5x + -5 + (4 + -4x) = -7x + -7 Reorder the terms: -5 + 4 + 5x + -4x = -7x + -7 Combine like terms: -5 + 4 = -1 -1 + 5x + -4x = -7x + -7 Combine like terms: 5x + -4x = 1x -1 + 1x = -7x + -7 Reorder the terms: -1 + 1x = -7 + -7x Solving -1 + 1x = -7 + -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. -1 + 1x + 7x = -7 + -7x + 7x Combine like terms: 1x + 7x = 8x -1 + 8x = -7 + -7x + 7x Combine like terms: -7x + 7x = 0 -1 + 8x = -7 + 0 -1 + 8x = -7 Add '1' to each side of the equation. -1 + 1 + 8x = -7 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = -7 + 1 8x = -7 + 1 Combine like terms: -7 + 1 = -6 8x = -6 Divide each side by '8'. x = -0.75 Simplifying x = -0.75
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