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Simplifying 2 + -1[2x + 5] = 7x + 3 + 12 Reorder the terms: 2 + -1[5 + 2x] = 7x + 3 + 12 2 + [5 * -1 + 2x * -1] = 7x + 3 + 12 2 + [-5 + -2x] = 7x + 3 + 12 Combine like terms: 2 + -5 = -3 -3 + -2x = 7x + 3 + 12 Reorder the terms: -3 + -2x = 3 + 12 + 7x Combine like terms: 3 + 12 = 15 -3 + -2x = 15 + 7x Solving -3 + -2x = 15 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -3 + -2x + -7x = 15 + 7x + -7x Combine like terms: -2x + -7x = -9x -3 + -9x = 15 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + -9x = 15 + 0 -3 + -9x = 15 Add '3' to each side of the equation. -3 + 3 + -9x = 15 + 3 Combine like terms: -3 + 3 = 0 0 + -9x = 15 + 3 -9x = 15 + 3 Combine like terms: 15 + 3 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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