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Simplifying 12x + -2[x + 5] = 3x(5 + 2) + 45 Reorder the terms: 12x + -2[5 + x] = 3x(5 + 2) + 45 12x + [5 * -2 + x * -2] = 3x(5 + 2) + 45 12x + [-10 + -2x] = 3x(5 + 2) + 45 Reorder the terms: -10 + 12x + -2x = 3x(5 + 2) + 45 Combine like terms: 12x + -2x = 10x -10 + 10x = 3x(5 + 2) + 45 Combine like terms: 5 + 2 = 7 -10 + 10x = 3x(7) + 45 Reorder the terms for easier multiplication: -10 + 10x = 3 * 7x + 45 Multiply 3 * 7 -10 + 10x = 21x + 45 Reorder the terms: -10 + 10x = 45 + 21x Solving -10 + 10x = 45 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -10 + 10x + -21x = 45 + 21x + -21x Combine like terms: 10x + -21x = -11x -10 + -11x = 45 + 21x + -21x Combine like terms: 21x + -21x = 0 -10 + -11x = 45 + 0 -10 + -11x = 45 Add '10' to each side of the equation. -10 + 10 + -11x = 45 + 10 Combine like terms: -10 + 10 = 0 0 + -11x = 45 + 10 -11x = 45 + 10 Combine like terms: 45 + 10 = 55 -11x = 55 Divide each side by '-11'. x = -5 Simplifying x = -5
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