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Simplifying 5x + -1(6x + 6) = 3x + -50 Reorder the terms: 5x + -1(6 + 6x) = 3x + -50 5x + (6 * -1 + 6x * -1) = 3x + -50 5x + (-6 + -6x) = 3x + -50 Reorder the terms: -6 + 5x + -6x = 3x + -50 Combine like terms: 5x + -6x = -1x -6 + -1x = 3x + -50 Reorder the terms: -6 + -1x = -50 + 3x Solving -6 + -1x = -50 + 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. -6 + -1x + -3x = -50 + 3x + -3x Combine like terms: -1x + -3x = -4x -6 + -4x = -50 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -4x = -50 + 0 -6 + -4x = -50 Add '6' to each side of the equation. -6 + 6 + -4x = -50 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = -50 + 6 -4x = -50 + 6 Combine like terms: -50 + 6 = -44 -4x = -44 Divide each side by '-4'. x = 11 Simplifying x = 11
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