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Simplifying 3(x + 3) + 4(2x + -12) + -4 = 12 Reorder the terms: 3(3 + x) + 4(2x + -12) + -4 = 12 (3 * 3 + x * 3) + 4(2x + -12) + -4 = 12 (9 + 3x) + 4(2x + -12) + -4 = 12 Reorder the terms: 9 + 3x + 4(-12 + 2x) + -4 = 12 9 + 3x + (-12 * 4 + 2x * 4) + -4 = 12 9 + 3x + (-48 + 8x) + -4 = 12 Reorder the terms: 9 + -48 + -4 + 3x + 8x = 12 Combine like terms: 9 + -48 = -39 -39 + -4 + 3x + 8x = 12 Combine like terms: -39 + -4 = -43 -43 + 3x + 8x = 12 Combine like terms: 3x + 8x = 11x -43 + 11x = 12 Solving -43 + 11x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + 11x = 12 + 43 Combine like terms: -43 + 43 = 0 0 + 11x = 12 + 43 11x = 12 + 43 Combine like terms: 12 + 43 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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