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Simplifying 46 + -1(2x + 6) = (3x + 5) + -50 Reorder the terms: 46 + -1(6 + 2x) = (3x + 5) + -50 46 + (6 * -1 + 2x * -1) = (3x + 5) + -50 46 + (-6 + -2x) = (3x + 5) + -50 Combine like terms: 46 + -6 = 40 40 + -2x = (3x + 5) + -50 Reorder the terms: 40 + -2x = (5 + 3x) + -50 Remove parenthesis around (5 + 3x) 40 + -2x = 5 + 3x + -50 Reorder the terms: 40 + -2x = 5 + -50 + 3x Combine like terms: 5 + -50 = -45 40 + -2x = -45 + 3x Solving 40 + -2x = -45 + 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. 40 + -2x + -3x = -45 + 3x + -3x Combine like terms: -2x + -3x = -5x 40 + -5x = -45 + 3x + -3x Combine like terms: 3x + -3x = 0 40 + -5x = -45 + 0 40 + -5x = -45 Add '-40' to each side of the equation. 40 + -40 + -5x = -45 + -40 Combine like terms: 40 + -40 = 0 0 + -5x = -45 + -40 -5x = -45 + -40 Combine like terms: -45 + -40 = -85 -5x = -85 Divide each side by '-5'. x = 17 Simplifying x = 17
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