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