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Simplifying 13x + 6 + -5(2x + -3) = 1 + 4(x + 5) Reorder the terms: 13x + 6 + -5(-3 + 2x) = 1 + 4(x + 5) 13x + 6 + (-3 * -5 + 2x * -5) = 1 + 4(x + 5) 13x + 6 + (15 + -10x) = 1 + 4(x + 5) Reorder the terms: 6 + 15 + 13x + -10x = 1 + 4(x + 5) Combine like terms: 6 + 15 = 21 21 + 13x + -10x = 1 + 4(x + 5) Combine like terms: 13x + -10x = 3x 21 + 3x = 1 + 4(x + 5) Reorder the terms: 21 + 3x = 1 + 4(5 + x) 21 + 3x = 1 + (5 * 4 + x * 4) 21 + 3x = 1 + (20 + 4x) Combine like terms: 1 + 20 = 21 21 + 3x = 21 + 4x Add '-21' to each side of the equation. 21 + -21 + 3x = 21 + -21 + 4x Combine like terms: 21 + -21 = 0 0 + 3x = 21 + -21 + 4x 3x = 21 + -21 + 4x Combine like terms: 21 + -21 = 0 3x = 0 + 4x 3x = 4x Solving 3x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3x + -4x = 4x + -4x Combine like terms: 3x + -4x = -1x -1x = 4x + -4x Combine like terms: 4x + -4x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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