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Simplifying 5x + -1(6x + 8) = 2x + -50 Reorder the terms: 5x + -1(8 + 6x) = 2x + -50 5x + (8 * -1 + 6x * -1) = 2x + -50 5x + (-8 + -6x) = 2x + -50 Reorder the terms: -8 + 5x + -6x = 2x + -50 Combine like terms: 5x + -6x = -1x -8 + -1x = 2x + -50 Reorder the terms: -8 + -1x = -50 + 2x Solving -8 + -1x = -50 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + -1x + -2x = -50 + 2x + -2x Combine like terms: -1x + -2x = -3x -8 + -3x = -50 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -3x = -50 + 0 -8 + -3x = -50 Add '8' to each side of the equation. -8 + 8 + -3x = -50 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = -50 + 8 -3x = -50 + 8 Combine like terms: -50 + 8 = -42 -3x = -42 Divide each side by '-3'. x = 14 Simplifying x = 14
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