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Simplifying 13 + 4(3x + -1) = 16 + -1(4x + -9) Reorder the terms: 13 + 4(-1 + 3x) = 16 + -1(4x + -9) 13 + (-1 * 4 + 3x * 4) = 16 + -1(4x + -9) 13 + (-4 + 12x) = 16 + -1(4x + -9) Combine like terms: 13 + -4 = 9 9 + 12x = 16 + -1(4x + -9) Reorder the terms: 9 + 12x = 16 + -1(-9 + 4x) 9 + 12x = 16 + (-9 * -1 + 4x * -1) 9 + 12x = 16 + (9 + -4x) Combine like terms: 16 + 9 = 25 9 + 12x = 25 + -4x Solving 9 + 12x = 25 + -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. 9 + 12x + 4x = 25 + -4x + 4x Combine like terms: 12x + 4x = 16x 9 + 16x = 25 + -4x + 4x Combine like terms: -4x + 4x = 0 9 + 16x = 25 + 0 9 + 16x = 25 Add '-9' to each side of the equation. 9 + -9 + 16x = 25 + -9 Combine like terms: 9 + -9 = 0 0 + 16x = 25 + -9 16x = 25 + -9 Combine like terms: 25 + -9 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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