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Simplifying 3 + -1(3x + 5) = 10 + 3(x + 4) Reorder the terms: 3 + -1(5 + 3x) = 10 + 3(x + 4) 3 + (5 * -1 + 3x * -1) = 10 + 3(x + 4) 3 + (-5 + -3x) = 10 + 3(x + 4) Combine like terms: 3 + -5 = -2 -2 + -3x = 10 + 3(x + 4) Reorder the terms: -2 + -3x = 10 + 3(4 + x) -2 + -3x = 10 + (4 * 3 + x * 3) -2 + -3x = 10 + (12 + 3x) Combine like terms: 10 + 12 = 22 -2 + -3x = 22 + 3x Solving -2 + -3x = 22 + 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. -2 + -3x + -3x = 22 + 3x + -3x Combine like terms: -3x + -3x = -6x -2 + -6x = 22 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -6x = 22 + 0 -2 + -6x = 22 Add '2' to each side of the equation. -2 + 2 + -6x = 22 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = 22 + 2 -6x = 22 + 2 Combine like terms: 22 + 2 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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