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Simplifying 10 + -2(4x + 3) = 9 + -3(4x + -5) Reorder the terms: 10 + -2(3 + 4x) = 9 + -3(4x + -5) 10 + (3 * -2 + 4x * -2) = 9 + -3(4x + -5) 10 + (-6 + -8x) = 9 + -3(4x + -5) Combine like terms: 10 + -6 = 4 4 + -8x = 9 + -3(4x + -5) Reorder the terms: 4 + -8x = 9 + -3(-5 + 4x) 4 + -8x = 9 + (-5 * -3 + 4x * -3) 4 + -8x = 9 + (15 + -12x) Combine like terms: 9 + 15 = 24 4 + -8x = 24 + -12x Solving 4 + -8x = 24 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 4 + -8x + 12x = 24 + -12x + 12x Combine like terms: -8x + 12x = 4x 4 + 4x = 24 + -12x + 12x Combine like terms: -12x + 12x = 0 4 + 4x = 24 + 0 4 + 4x = 24 Add '-4' to each side of the equation. 4 + -4 + 4x = 24 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 24 + -4 4x = 24 + -4 Combine like terms: 24 + -4 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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