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Simplifying 5x + 5x + -1 = -7(1 + -1x) Reorder the terms: -1 + 5x + 5x = -7(1 + -1x) Combine like terms: 5x + 5x = 10x -1 + 10x = -7(1 + -1x) -1 + 10x = (1 * -7 + -1x * -7) -1 + 10x = (-7 + 7x) Solving -1 + 10x = -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 + 10x + -7x = -7 + 7x + -7x Combine like terms: 10x + -7x = 3x -1 + 3x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + 3x = -7 + 0 -1 + 3x = -7 Add '1' to each side of the equation. -1 + 1 + 3x = -7 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = -7 + 1 3x = -7 + 1 Combine like terms: -7 + 1 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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