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Simplifying 2 + -1(3x + 4) = 7 + 3(x + 3) Reorder the terms: 2 + -1(4 + 3x) = 7 + 3(x + 3) 2 + (4 * -1 + 3x * -1) = 7 + 3(x + 3) 2 + (-4 + -3x) = 7 + 3(x + 3) Combine like terms: 2 + -4 = -2 -2 + -3x = 7 + 3(x + 3) Reorder the terms: -2 + -3x = 7 + 3(3 + x) -2 + -3x = 7 + (3 * 3 + x * 3) -2 + -3x = 7 + (9 + 3x) Combine like terms: 7 + 9 = 16 -2 + -3x = 16 + 3x Solving -2 + -3x = 16 + 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 = 16 + 3x + -3x Combine like terms: -3x + -3x = -6x -2 + -6x = 16 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -6x = 16 + 0 -2 + -6x = 16 Add '2' to each side of the equation. -2 + 2 + -6x = 16 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = 16 + 2 -6x = 16 + 2 Combine like terms: 16 + 2 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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