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Simplifying 2(3x + -1) = -3(x + 5) Reorder the terms: 2(-1 + 3x) = -3(x + 5) (-1 * 2 + 3x * 2) = -3(x + 5) (-2 + 6x) = -3(x + 5) Reorder the terms: -2 + 6x = -3(5 + x) -2 + 6x = (5 * -3 + x * -3) -2 + 6x = (-15 + -3x) Solving -2 + 6x = -15 + -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. -2 + 6x + 3x = -15 + -3x + 3x Combine like terms: 6x + 3x = 9x -2 + 9x = -15 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 9x = -15 + 0 -2 + 9x = -15 Add '2' to each side of the equation. -2 + 2 + 9x = -15 + 2 Combine like terms: -2 + 2 = 0 0 + 9x = -15 + 2 9x = -15 + 2 Combine like terms: -15 + 2 = -13 9x = -13 Divide each side by '9'. x = -1.444444444 Simplifying x = -1.444444444
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