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Simplifying 41 + -1(2x + 4) = 2(x + 1) + x Reorder the terms: 41 + -1(4 + 2x) = 2(x + 1) + x 41 + (4 * -1 + 2x * -1) = 2(x + 1) + x 41 + (-4 + -2x) = 2(x + 1) + x Combine like terms: 41 + -4 = 37 37 + -2x = 2(x + 1) + x Reorder the terms: 37 + -2x = 2(1 + x) + x 37 + -2x = (1 * 2 + x * 2) + x 37 + -2x = (2 + 2x) + x Combine like terms: 2x + x = 3x 37 + -2x = 2 + 3x Solving 37 + -2x = 2 + 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. 37 + -2x + -3x = 2 + 3x + -3x Combine like terms: -2x + -3x = -5x 37 + -5x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 37 + -5x = 2 + 0 37 + -5x = 2 Add '-37' to each side of the equation. 37 + -37 + -5x = 2 + -37 Combine like terms: 37 + -37 = 0 0 + -5x = 2 + -37 -5x = 2 + -37 Combine like terms: 2 + -37 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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