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Simplifying 11(x + -2) + -410 = 2(2x + -4) + 49 Reorder the terms: 11(-2 + x) + -410 = 2(2x + -4) + 49 (-2 * 11 + x * 11) + -410 = 2(2x + -4) + 49 (-22 + 11x) + -410 = 2(2x + -4) + 49 Reorder the terms: -22 + -410 + 11x = 2(2x + -4) + 49 Combine like terms: -22 + -410 = -432 -432 + 11x = 2(2x + -4) + 49 Reorder the terms: -432 + 11x = 2(-4 + 2x) + 49 -432 + 11x = (-4 * 2 + 2x * 2) + 49 -432 + 11x = (-8 + 4x) + 49 Reorder the terms: -432 + 11x = -8 + 49 + 4x Combine like terms: -8 + 49 = 41 -432 + 11x = 41 + 4x Solving -432 + 11x = 41 + 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. -432 + 11x + -4x = 41 + 4x + -4x Combine like terms: 11x + -4x = 7x -432 + 7x = 41 + 4x + -4x Combine like terms: 4x + -4x = 0 -432 + 7x = 41 + 0 -432 + 7x = 41 Add '432' to each side of the equation. -432 + 432 + 7x = 41 + 432 Combine like terms: -432 + 432 = 0 0 + 7x = 41 + 432 7x = 41 + 432 Combine like terms: 41 + 432 = 473 7x = 473 Divide each side by '7'. x = 67.57142857 Simplifying x = 67.57142857
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