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Simplifying 5(3x + -2) + -5x + -13(4 + -1x) = 11x Reorder the terms: 5(-2 + 3x) + -5x + -13(4 + -1x) = 11x (-2 * 5 + 3x * 5) + -5x + -13(4 + -1x) = 11x (-10 + 15x) + -5x + -13(4 + -1x) = 11x -10 + 15x + -5x + (4 * -13 + -1x * -13) = 11x -10 + 15x + -5x + (-52 + 13x) = 11x Reorder the terms: -10 + -52 + 15x + -5x + 13x = 11x Combine like terms: -10 + -52 = -62 -62 + 15x + -5x + 13x = 11x Combine like terms: 15x + -5x = 10x -62 + 10x + 13x = 11x Combine like terms: 10x + 13x = 23x -62 + 23x = 11x Solving -62 + 23x = 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -62 + 23x + -11x = 11x + -11x Combine like terms: 23x + -11x = 12x -62 + 12x = 11x + -11x Combine like terms: 11x + -11x = 0 -62 + 12x = 0 Add '62' to each side of the equation. -62 + 62 + 12x = 0 + 62 Combine like terms: -62 + 62 = 0 0 + 12x = 0 + 62 12x = 0 + 62 Combine like terms: 0 + 62 = 62 12x = 62 Divide each side by '12'. x = 5.166666667 Simplifying x = 5.166666667
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