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Simplifying 5(2x + 8) = 16 + -3(x + -8) Reorder the terms: 5(8 + 2x) = 16 + -3(x + -8) (8 * 5 + 2x * 5) = 16 + -3(x + -8) (40 + 10x) = 16 + -3(x + -8) Reorder the terms: 40 + 10x = 16 + -3(-8 + x) 40 + 10x = 16 + (-8 * -3 + x * -3) 40 + 10x = 16 + (24 + -3x) Combine like terms: 16 + 24 = 40 40 + 10x = 40 + -3x Add '-40' to each side of the equation. 40 + -40 + 10x = 40 + -40 + -3x Combine like terms: 40 + -40 = 0 0 + 10x = 40 + -40 + -3x 10x = 40 + -40 + -3x Combine like terms: 40 + -40 = 0 10x = 0 + -3x 10x = -3x Solving 10x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 10x + 3x = -3x + 3x Combine like terms: 10x + 3x = 13x 13x = -3x + 3x Combine like terms: -3x + 3x = 0 13x = 0 Divide each side by '13'. x = 0 Simplifying x = 0
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