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Simplifying 5x + -1(3x + 3) = 3x + -41 Reorder the terms: 5x + -1(3 + 3x) = 3x + -41 5x + (3 * -1 + 3x * -1) = 3x + -41 5x + (-3 + -3x) = 3x + -41 Reorder the terms: -3 + 5x + -3x = 3x + -41 Combine like terms: 5x + -3x = 2x -3 + 2x = 3x + -41 Reorder the terms: -3 + 2x = -41 + 3x Solving -3 + 2x = -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. -3 + 2x + -3x = -41 + 3x + -3x Combine like terms: 2x + -3x = -1x -3 + -1x = -41 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -1x = -41 + 0 -3 + -1x = -41 Add '3' to each side of the equation. -3 + 3 + -1x = -41 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = -41 + 3 -1x = -41 + 3 Combine like terms: -41 + 3 = -38 -1x = -38 Divide each side by '-1'. x = 38 Simplifying x = 38
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