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