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Simplifying 4(x + -6) + -5(5x + 2) = x + -34 Reorder the terms: 4(-6 + x) + -5(5x + 2) = x + -34 (-6 * 4 + x * 4) + -5(5x + 2) = x + -34 (-24 + 4x) + -5(5x + 2) = x + -34 Reorder the terms: -24 + 4x + -5(2 + 5x) = x + -34 -24 + 4x + (2 * -5 + 5x * -5) = x + -34 -24 + 4x + (-10 + -25x) = x + -34 Reorder the terms: -24 + -10 + 4x + -25x = x + -34 Combine like terms: -24 + -10 = -34 -34 + 4x + -25x = x + -34 Combine like terms: 4x + -25x = -21x -34 + -21x = x + -34 Reorder the terms: -34 + -21x = -34 + x Add '34' to each side of the equation. -34 + 34 + -21x = -34 + 34 + x Combine like terms: -34 + 34 = 0 0 + -21x = -34 + 34 + x -21x = -34 + 34 + x Combine like terms: -34 + 34 = 0 -21x = 0 + x -21x = x Solving -21x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -21x + -1x = x + -1x Combine like terms: -21x + -1x = -22x -22x = x + -1x Combine like terms: x + -1x = 0 -22x = 0 Divide each side by '-22'. x = 0 Simplifying x = 0
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