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Simplifying 5(3x + -1) = 6(2 + -1x) + -10 Reorder the terms: 5(-1 + 3x) = 6(2 + -1x) + -10 (-1 * 5 + 3x * 5) = 6(2 + -1x) + -10 (-5 + 15x) = 6(2 + -1x) + -10 -5 + 15x = (2 * 6 + -1x * 6) + -10 -5 + 15x = (12 + -6x) + -10 Reorder the terms: -5 + 15x = 12 + -10 + -6x Combine like terms: 12 + -10 = 2 -5 + 15x = 2 + -6x Solving -5 + 15x = 2 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -5 + 15x + 6x = 2 + -6x + 6x Combine like terms: 15x + 6x = 21x -5 + 21x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 -5 + 21x = 2 + 0 -5 + 21x = 2 Add '5' to each side of the equation. -5 + 5 + 21x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 21x = 2 + 5 21x = 2 + 5 Combine like terms: 2 + 5 = 7 21x = 7 Divide each side by '21'. x = 0.3333333333 Simplifying x = 0.3333333333
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