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Simplifying 4 + -1(2x + 3) = 7x + (2x + 12) Reorder the terms: 4 + -1(3 + 2x) = 7x + (2x + 12) 4 + (3 * -1 + 2x * -1) = 7x + (2x + 12) 4 + (-3 + -2x) = 7x + (2x + 12) Combine like terms: 4 + -3 = 1 1 + -2x = 7x + (2x + 12) Reorder the terms: 1 + -2x = 7x + (12 + 2x) Remove parenthesis around (12 + 2x) 1 + -2x = 7x + 12 + 2x Reorder the terms: 1 + -2x = 12 + 7x + 2x Combine like terms: 7x + 2x = 9x 1 + -2x = 12 + 9x Solving 1 + -2x = 12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 1 + -2x + -9x = 12 + 9x + -9x Combine like terms: -2x + -9x = -11x 1 + -11x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 1 + -11x = 12 + 0 1 + -11x = 12 Add '-1' to each side of the equation. 1 + -1 + -11x = 12 + -1 Combine like terms: 1 + -1 = 0 0 + -11x = 12 + -1 -11x = 12 + -1 Combine like terms: 12 + -1 = 11 -11x = 11 Divide each side by '-11'. x = -1 Simplifying x = -1
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