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Simplifying 5x + -1(5 + 3x) = (3 + -1x) + -9 5x + (5 * -1 + 3x * -1) = (3 + -1x) + -9 5x + (-5 + -3x) = (3 + -1x) + -9 Reorder the terms: -5 + 5x + -3x = (3 + -1x) + -9 Combine like terms: 5x + -3x = 2x -5 + 2x = (3 + -1x) + -9 Remove parenthesis around (3 + -1x) -5 + 2x = 3 + -1x + -9 Reorder the terms: -5 + 2x = 3 + -9 + -1x Combine like terms: 3 + -9 = -6 -5 + 2x = -6 + -1x Solving -5 + 2x = -6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -5 + 2x + x = -6 + -1x + x Combine like terms: 2x + x = 3x -5 + 3x = -6 + -1x + x Combine like terms: -1x + x = 0 -5 + 3x = -6 + 0 -5 + 3x = -6 Add '5' to each side of the equation. -5 + 5 + 3x = -6 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = -6 + 5 3x = -6 + 5 Combine like terms: -6 + 5 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333
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