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Simplifying 7x + -1(-4x + -2) = 2x + -5 Reorder the terms: 7x + -1(-2 + -4x) = 2x + -5 7x + (-2 * -1 + -4x * -1) = 2x + -5 7x + (2 + 4x) = 2x + -5 Reorder the terms: 2 + 7x + 4x = 2x + -5 Combine like terms: 7x + 4x = 11x 2 + 11x = 2x + -5 Reorder the terms: 2 + 11x = -5 + 2x Solving 2 + 11x = -5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 2 + 11x + -2x = -5 + 2x + -2x Combine like terms: 11x + -2x = 9x 2 + 9x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 9x = -5 + 0 2 + 9x = -5 Add '-2' to each side of the equation. 2 + -2 + 9x = -5 + -2 Combine like terms: 2 + -2 = 0 0 + 9x = -5 + -2 9x = -5 + -2 Combine like terms: -5 + -2 = -7 9x = -7 Divide each side by '9'. x = -0.7777777778 Simplifying x = -0.7777777778
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