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Simplifying 5 + -3(4x + -8) = 2(5x + 8) + 13 Reorder the terms: 5 + -3(-8 + 4x) = 2(5x + 8) + 13 5 + (-8 * -3 + 4x * -3) = 2(5x + 8) + 13 5 + (24 + -12x) = 2(5x + 8) + 13 Combine like terms: 5 + 24 = 29 29 + -12x = 2(5x + 8) + 13 Reorder the terms: 29 + -12x = 2(8 + 5x) + 13 29 + -12x = (8 * 2 + 5x * 2) + 13 29 + -12x = (16 + 10x) + 13 Reorder the terms: 29 + -12x = 16 + 13 + 10x Combine like terms: 16 + 13 = 29 29 + -12x = 29 + 10x Add '-29' to each side of the equation. 29 + -29 + -12x = 29 + -29 + 10x Combine like terms: 29 + -29 = 0 0 + -12x = 29 + -29 + 10x -12x = 29 + -29 + 10x Combine like terms: 29 + -29 = 0 -12x = 0 + 10x -12x = 10x Solving -12x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -12x + -10x = 10x + -10x Combine like terms: -12x + -10x = -22x -22x = 10x + -10x Combine like terms: 10x + -10x = 0 -22x = 0 Divide each side by '-22'. x = 0 Simplifying x = 0
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