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Simplifying 5(x + -1) + -2(5x + 3) = x + -11 Reorder the terms: 5(-1 + x) + -2(5x + 3) = x + -11 (-1 * 5 + x * 5) + -2(5x + 3) = x + -11 (-5 + 5x) + -2(5x + 3) = x + -11 Reorder the terms: -5 + 5x + -2(3 + 5x) = x + -11 -5 + 5x + (3 * -2 + 5x * -2) = x + -11 -5 + 5x + (-6 + -10x) = x + -11 Reorder the terms: -5 + -6 + 5x + -10x = x + -11 Combine like terms: -5 + -6 = -11 -11 + 5x + -10x = x + -11 Combine like terms: 5x + -10x = -5x -11 + -5x = x + -11 Reorder the terms: -11 + -5x = -11 + x Add '11' to each side of the equation. -11 + 11 + -5x = -11 + 11 + x Combine like terms: -11 + 11 = 0 0 + -5x = -11 + 11 + x -5x = -11 + 11 + x Combine like terms: -11 + 11 = 0 -5x = 0 + x -5x = x Solving -5x = 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. -5x + -1x = x + -1x Combine like terms: -5x + -1x = -6x -6x = x + -1x Combine like terms: x + -1x = 0 -6x = 0 Divide each side by '-6'. x = 0 Simplifying x = 0
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