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Simplifying -5x + 1 + -2(x + 1) = 4x + 6 Reorder the terms: -5x + 1 + -2(1 + x) = 4x + 6 -5x + 1 + (1 * -2 + x * -2) = 4x + 6 -5x + 1 + (-2 + -2x) = 4x + 6 Reorder the terms: 1 + -2 + -5x + -2x = 4x + 6 Combine like terms: 1 + -2 = -1 -1 + -5x + -2x = 4x + 6 Combine like terms: -5x + -2x = -7x -1 + -7x = 4x + 6 Reorder the terms: -1 + -7x = 6 + 4x Solving -1 + -7x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1 + -7x + -4x = 6 + 4x + -4x Combine like terms: -7x + -4x = -11x -1 + -11x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -11x = 6 + 0 -1 + -11x = 6 Add '1' to each side of the equation. -1 + 1 + -11x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -11x = 6 + 1 -11x = 6 + 1 Combine like terms: 6 + 1 = 7 -11x = 7 Divide each side by '-11'. x = -0.6363636364 Simplifying x = -0.6363636364
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