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Simplifying 4x + -1(3x + 9) = 3x + -41 Reorder the terms: 4x + -1(9 + 3x) = 3x + -41 4x + (9 * -1 + 3x * -1) = 3x + -41 4x + (-9 + -3x) = 3x + -41 Reorder the terms: -9 + 4x + -3x = 3x + -41 Combine like terms: 4x + -3x = 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 = -2x -9 + -2x = -41 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + -2x = -41 + 0 -9 + -2x = -41 Add '9' to each side of the equation. -9 + 9 + -2x = -41 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = -41 + 9 -2x = -41 + 9 Combine like terms: -41 + 9 = -32 -2x = -32 Divide each side by '-2'. x = 16 Simplifying x = 16
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