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Simplifying 3(5x + -2) = -3(x + -6) Reorder the terms: 3(-2 + 5x) = -3(x + -6) (-2 * 3 + 5x * 3) = -3(x + -6) (-6 + 15x) = -3(x + -6) Reorder the terms: -6 + 15x = -3(-6 + x) -6 + 15x = (-6 * -3 + x * -3) -6 + 15x = (18 + -3x) Solving -6 + 15x = 18 + -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. -6 + 15x + 3x = 18 + -3x + 3x Combine like terms: 15x + 3x = 18x -6 + 18x = 18 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 18x = 18 + 0 -6 + 18x = 18 Add '6' to each side of the equation. -6 + 6 + 18x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 18x = 18 + 6 18x = 18 + 6 Combine like terms: 18 + 6 = 24 18x = 24 Divide each side by '18'. x = 1.333333333 Simplifying x = 1.333333333
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