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Simplifying 4x + 16 + -1(4x + 5) = 10x + 20 + -29 Reorder the terms: 4x + 16 + -1(5 + 4x) = 10x + 20 + -29 4x + 16 + (5 * -1 + 4x * -1) = 10x + 20 + -29 4x + 16 + (-5 + -4x) = 10x + 20 + -29 Reorder the terms: 16 + -5 + 4x + -4x = 10x + 20 + -29 Combine like terms: 16 + -5 = 11 11 + 4x + -4x = 10x + 20 + -29 Combine like terms: 4x + -4x = 0 11 + 0 = 10x + 20 + -29 11 = 10x + 20 + -29 Reorder the terms: 11 = 20 + -29 + 10x Combine like terms: 20 + -29 = -9 11 = -9 + 10x Solving 11 = -9 + 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. 11 + -10x = -9 + 10x + -10x Combine like terms: 10x + -10x = 0 11 + -10x = -9 + 0 11 + -10x = -9 Add '-11' to each side of the equation. 11 + -11 + -10x = -9 + -11 Combine like terms: 11 + -11 = 0 0 + -10x = -9 + -11 -10x = -9 + -11 Combine like terms: -9 + -11 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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