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Simplifying -8(-10x + -22) = -49(-43 + 4x) Reorder the terms: -8(-22 + -10x) = -49(-43 + 4x) (-22 * -8 + -10x * -8) = -49(-43 + 4x) (176 + 80x) = -49(-43 + 4x) 176 + 80x = (-43 * -49 + 4x * -49) 176 + 80x = (2107 + -196x) Solving 176 + 80x = 2107 + -196x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '196x' to each side of the equation. 176 + 80x + 196x = 2107 + -196x + 196x Combine like terms: 80x + 196x = 276x 176 + 276x = 2107 + -196x + 196x Combine like terms: -196x + 196x = 0 176 + 276x = 2107 + 0 176 + 276x = 2107 Add '-176' to each side of the equation. 176 + -176 + 276x = 2107 + -176 Combine like terms: 176 + -176 = 0 0 + 276x = 2107 + -176 276x = 2107 + -176 Combine like terms: 2107 + -176 = 1931 276x = 1931 Divide each side by '276'. x = 6.996376812 Simplifying x = 6.996376812
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