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Simplifying 3x + -1(5 + 5x) = 6 + -1(3 + -1x) 3x + (5 * -1 + 5x * -1) = 6 + -1(3 + -1x) 3x + (-5 + -5x) = 6 + -1(3 + -1x) Reorder the terms: -5 + 3x + -5x = 6 + -1(3 + -1x) Combine like terms: 3x + -5x = -2x -5 + -2x = 6 + -1(3 + -1x) -5 + -2x = 6 + (3 * -1 + -1x * -1) -5 + -2x = 6 + (-3 + 1x) Combine like terms: 6 + -3 = 3 -5 + -2x = 3 + 1x Solving -5 + -2x = 3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + -2x + -1x = 3 + 1x + -1x Combine like terms: -2x + -1x = -3x -5 + -3x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 -5 + -3x = 3 + 0 -5 + -3x = 3 Add '5' to each side of the equation. -5 + 5 + -3x = 3 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 3 + 5 -3x = 3 + 5 Combine like terms: 3 + 5 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667
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