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Simplifying 15 + 2(4x + -3) = 16 + -1(4x + -5) Reorder the terms: 15 + 2(-3 + 4x) = 16 + -1(4x + -5) 15 + (-3 * 2 + 4x * 2) = 16 + -1(4x + -5) 15 + (-6 + 8x) = 16 + -1(4x + -5) Combine like terms: 15 + -6 = 9 9 + 8x = 16 + -1(4x + -5) Reorder the terms: 9 + 8x = 16 + -1(-5 + 4x) 9 + 8x = 16 + (-5 * -1 + 4x * -1) 9 + 8x = 16 + (5 + -4x) Combine like terms: 16 + 5 = 21 9 + 8x = 21 + -4x Solving 9 + 8x = 21 + -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 + 8x + 4x = 21 + -4x + 4x Combine like terms: 8x + 4x = 12x 9 + 12x = 21 + -4x + 4x Combine like terms: -4x + 4x = 0 9 + 12x = 21 + 0 9 + 12x = 21 Add '-9' to each side of the equation. 9 + -9 + 12x = 21 + -9 Combine like terms: 9 + -9 = 0 0 + 12x = 21 + -9 12x = 21 + -9 Combine like terms: 21 + -9 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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