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Simplifying 3x + -4(2x + 1) = 5 + 2(3x + -1) Reorder the terms: 3x + -4(1 + 2x) = 5 + 2(3x + -1) 3x + (1 * -4 + 2x * -4) = 5 + 2(3x + -1) 3x + (-4 + -8x) = 5 + 2(3x + -1) Reorder the terms: -4 + 3x + -8x = 5 + 2(3x + -1) Combine like terms: 3x + -8x = -5x -4 + -5x = 5 + 2(3x + -1) Reorder the terms: -4 + -5x = 5 + 2(-1 + 3x) -4 + -5x = 5 + (-1 * 2 + 3x * 2) -4 + -5x = 5 + (-2 + 6x) Combine like terms: 5 + -2 = 3 -4 + -5x = 3 + 6x Solving -4 + -5x = 3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + -5x + -6x = 3 + 6x + -6x Combine like terms: -5x + -6x = -11x -4 + -11x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -11x = 3 + 0 -4 + -11x = 3 Add '4' to each side of the equation. -4 + 4 + -11x = 3 + 4 Combine like terms: -4 + 4 = 0 0 + -11x = 3 + 4 -11x = 3 + 4 Combine like terms: 3 + 4 = 7 -11x = 7 Divide each side by '-11'. x = -0.6363636364 Simplifying x = -0.6363636364
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