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Simplifying 5(x + -5) + -3(5x + 3) = x + -34 Reorder the terms: 5(-5 + x) + -3(5x + 3) = x + -34 (-5 * 5 + x * 5) + -3(5x + 3) = x + -34 (-25 + 5x) + -3(5x + 3) = x + -34 Reorder the terms: -25 + 5x + -3(3 + 5x) = x + -34 -25 + 5x + (3 * -3 + 5x * -3) = x + -34 -25 + 5x + (-9 + -15x) = x + -34 Reorder the terms: -25 + -9 + 5x + -15x = x + -34 Combine like terms: -25 + -9 = -34 -34 + 5x + -15x = x + -34 Combine like terms: 5x + -15x = -10x -34 + -10x = x + -34 Reorder the terms: -34 + -10x = -34 + x Add '34' to each side of the equation. -34 + 34 + -10x = -34 + 34 + x Combine like terms: -34 + 34 = 0 0 + -10x = -34 + 34 + x -10x = -34 + 34 + x Combine like terms: -34 + 34 = 0 -10x = 0 + x -10x = x Solving -10x = 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. -10x + -1x = x + -1x Combine like terms: -10x + -1x = -11x -11x = x + -1x Combine like terms: x + -1x = 0 -11x = 0 Divide each side by '-11'. x = 0 Simplifying x = 0
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