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Simplifying 12(x + 4) + -3 = 7(x + 3) + -11 Reorder the terms: 12(4 + x) + -3 = 7(x + 3) + -11 (4 * 12 + x * 12) + -3 = 7(x + 3) + -11 (48 + 12x) + -3 = 7(x + 3) + -11 Reorder the terms: 48 + -3 + 12x = 7(x + 3) + -11 Combine like terms: 48 + -3 = 45 45 + 12x = 7(x + 3) + -11 Reorder the terms: 45 + 12x = 7(3 + x) + -11 45 + 12x = (3 * 7 + x * 7) + -11 45 + 12x = (21 + 7x) + -11 Reorder the terms: 45 + 12x = 21 + -11 + 7x Combine like terms: 21 + -11 = 10 45 + 12x = 10 + 7x Solving 45 + 12x = 10 + 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. 45 + 12x + -7x = 10 + 7x + -7x Combine like terms: 12x + -7x = 5x 45 + 5x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 45 + 5x = 10 + 0 45 + 5x = 10 Add '-45' to each side of the equation. 45 + -45 + 5x = 10 + -45 Combine like terms: 45 + -45 = 0 0 + 5x = 10 + -45 5x = 10 + -45 Combine like terms: 10 + -45 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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