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Simplifying 7(x + 3) = 45 + -3(12 + -1x) Reorder the terms: 7(3 + x) = 45 + -3(12 + -1x) (3 * 7 + x * 7) = 45 + -3(12 + -1x) (21 + 7x) = 45 + -3(12 + -1x) 21 + 7x = 45 + (12 * -3 + -1x * -3) 21 + 7x = 45 + (-36 + 3x) Combine like terms: 45 + -36 = 9 21 + 7x = 9 + 3x Solving 21 + 7x = 9 + 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. 21 + 7x + -3x = 9 + 3x + -3x Combine like terms: 7x + -3x = 4x 21 + 4x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 21 + 4x = 9 + 0 21 + 4x = 9 Add '-21' to each side of the equation. 21 + -21 + 4x = 9 + -21 Combine like terms: 21 + -21 = 0 0 + 4x = 9 + -21 4x = 9 + -21 Combine like terms: 9 + -21 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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