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Simplifying -2(3x + 5) = 3(x + -2) + 11 Reorder the terms: -2(5 + 3x) = 3(x + -2) + 11 (5 * -2 + 3x * -2) = 3(x + -2) + 11 (-10 + -6x) = 3(x + -2) + 11 Reorder the terms: -10 + -6x = 3(-2 + x) + 11 -10 + -6x = (-2 * 3 + x * 3) + 11 -10 + -6x = (-6 + 3x) + 11 Reorder the terms: -10 + -6x = -6 + 11 + 3x Combine like terms: -6 + 11 = 5 -10 + -6x = 5 + 3x Solving -10 + -6x = 5 + 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. -10 + -6x + -3x = 5 + 3x + -3x Combine like terms: -6x + -3x = -9x -10 + -9x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + -9x = 5 + 0 -10 + -9x = 5 Add '10' to each side of the equation. -10 + 10 + -9x = 5 + 10 Combine like terms: -10 + 10 = 0 0 + -9x = 5 + 10 -9x = 5 + 10 Combine like terms: 5 + 10 = 15 -9x = 15 Divide each side by '-9'. x = -1.666666667 Simplifying x = -1.666666667
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