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Simplifying -4(4x + 2) + -2 = -5(x + 1) + 2 Reorder the terms: -4(2 + 4x) + -2 = -5(x + 1) + 2 (2 * -4 + 4x * -4) + -2 = -5(x + 1) + 2 (-8 + -16x) + -2 = -5(x + 1) + 2 Reorder the terms: -8 + -2 + -16x = -5(x + 1) + 2 Combine like terms: -8 + -2 = -10 -10 + -16x = -5(x + 1) + 2 Reorder the terms: -10 + -16x = -5(1 + x) + 2 -10 + -16x = (1 * -5 + x * -5) + 2 -10 + -16x = (-5 + -5x) + 2 Reorder the terms: -10 + -16x = -5 + 2 + -5x Combine like terms: -5 + 2 = -3 -10 + -16x = -3 + -5x Solving -10 + -16x = -3 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -10 + -16x + 5x = -3 + -5x + 5x Combine like terms: -16x + 5x = -11x -10 + -11x = -3 + -5x + 5x Combine like terms: -5x + 5x = 0 -10 + -11x = -3 + 0 -10 + -11x = -3 Add '10' to each side of the equation. -10 + 10 + -11x = -3 + 10 Combine like terms: -10 + 10 = 0 0 + -11x = -3 + 10 -11x = -3 + 10 Combine like terms: -3 + 10 = 7 -11x = 7 Divide each side by '-11'. x = -0.6363636364 Simplifying x = -0.6363636364
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