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Simplifying 5 + -1(3x + 1) = 16 + 3(x + 4) Reorder the terms: 5 + -1(1 + 3x) = 16 + 3(x + 4) 5 + (1 * -1 + 3x * -1) = 16 + 3(x + 4) 5 + (-1 + -3x) = 16 + 3(x + 4) Combine like terms: 5 + -1 = 4 4 + -3x = 16 + 3(x + 4) Reorder the terms: 4 + -3x = 16 + 3(4 + x) 4 + -3x = 16 + (4 * 3 + x * 3) 4 + -3x = 16 + (12 + 3x) Combine like terms: 16 + 12 = 28 4 + -3x = 28 + 3x Solving 4 + -3x = 28 + 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. 4 + -3x + -3x = 28 + 3x + -3x Combine like terms: -3x + -3x = -6x 4 + -6x = 28 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -6x = 28 + 0 4 + -6x = 28 Add '-4' to each side of the equation. 4 + -4 + -6x = 28 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = 28 + -4 -6x = 28 + -4 Combine like terms: 28 + -4 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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