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Simplifying 13(x + -2) + -2x = 4 + -5(x + 3) Reorder the terms: 13(-2 + x) + -2x = 4 + -5(x + 3) (-2 * 13 + x * 13) + -2x = 4 + -5(x + 3) (-26 + 13x) + -2x = 4 + -5(x + 3) Combine like terms: 13x + -2x = 11x -26 + 11x = 4 + -5(x + 3) Reorder the terms: -26 + 11x = 4 + -5(3 + x) -26 + 11x = 4 + (3 * -5 + x * -5) -26 + 11x = 4 + (-15 + -5x) Combine like terms: 4 + -15 = -11 -26 + 11x = -11 + -5x Solving -26 + 11x = -11 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -26 + 11x + 5x = -11 + -5x + 5x Combine like terms: 11x + 5x = 16x -26 + 16x = -11 + -5x + 5x Combine like terms: -5x + 5x = 0 -26 + 16x = -11 + 0 -26 + 16x = -11 Add '26' to each side of the equation. -26 + 26 + 16x = -11 + 26 Combine like terms: -26 + 26 = 0 0 + 16x = -11 + 26 16x = -11 + 26 Combine like terms: -11 + 26 = 15 16x = 15 Divide each side by '16'. x = 0.9375 Simplifying x = 0.9375
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