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Simplifying 4x + -1(3x + 8) = 4x + -41 Reorder the terms: 4x + -1(8 + 3x) = 4x + -41 4x + (8 * -1 + 3x * -1) = 4x + -41 4x + (-8 + -3x) = 4x + -41 Reorder the terms: -8 + 4x + -3x = 4x + -41 Combine like terms: 4x + -3x = 1x -8 + 1x = 4x + -41 Reorder the terms: -8 + 1x = -41 + 4x Solving -8 + 1x = -41 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + 1x + -4x = -41 + 4x + -4x Combine like terms: 1x + -4x = -3x -8 + -3x = -41 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + -3x = -41 + 0 -8 + -3x = -41 Add '8' to each side of the equation. -8 + 8 + -3x = -41 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = -41 + 8 -3x = -41 + 8 Combine like terms: -41 + 8 = -33 -3x = -33 Divide each side by '-3'. x = 11 Simplifying x = 11
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