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Simplifying -12x + 3(x + -3) + 8x = 3x + -41 Reorder the terms: -12x + 3(-3 + x) + 8x = 3x + -41 -12x + (-3 * 3 + x * 3) + 8x = 3x + -41 -12x + (-9 + 3x) + 8x = 3x + -41 Reorder the terms: -9 + -12x + 3x + 8x = 3x + -41 Combine like terms: -12x + 3x = -9x -9 + -9x + 8x = 3x + -41 Combine like terms: -9x + 8x = -1x -9 + -1x = 3x + -41 Reorder the terms: -9 + -1x = -41 + 3x Solving -9 + -1x = -41 + 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 + -1x + -3x = -41 + 3x + -3x Combine like terms: -1x + -3x = -4x -9 + -4x = -41 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + -4x = -41 + 0 -9 + -4x = -41 Add '9' to each side of the equation. -9 + 9 + -4x = -41 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = -41 + 9 -4x = -41 + 9 Combine like terms: -41 + 9 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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