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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 = -12 18x = -12 Divide each side by '18'. x = -0.6666666667 Simplifying x = -0.6666666667
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