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Simplifying -3(3x + 1) + -2 = -2(x + 5) + 4x Reorder the terms: -3(1 + 3x) + -2 = -2(x + 5) + 4x (1 * -3 + 3x * -3) + -2 = -2(x + 5) + 4x (-3 + -9x) + -2 = -2(x + 5) + 4x Reorder the terms: -3 + -2 + -9x = -2(x + 5) + 4x Combine like terms: -3 + -2 = -5 -5 + -9x = -2(x + 5) + 4x Reorder the terms: -5 + -9x = -2(5 + x) + 4x -5 + -9x = (5 * -2 + x * -2) + 4x -5 + -9x = (-10 + -2x) + 4x Combine like terms: -2x + 4x = 2x -5 + -9x = -10 + 2x Solving -5 + -9x = -10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + -9x + -2x = -10 + 2x + -2x Combine like terms: -9x + -2x = -11x -5 + -11x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -11x = -10 + 0 -5 + -11x = -10 Add '5' to each side of the equation. -5 + 5 + -11x = -10 + 5 Combine like terms: -5 + 5 = 0 0 + -11x = -10 + 5 -11x = -10 + 5 Combine like terms: -10 + 5 = -5 -11x = -5 Divide each side by '-11'. x = 0.4545454545 Simplifying x = 0.4545454545
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