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Simplifying x + -3(2 + 4x) = 6(x + 1) + 5x x + (2 * -3 + 4x * -3) = 6(x + 1) + 5x x + (-6 + -12x) = 6(x + 1) + 5x Reorder the terms: -6 + x + -12x = 6(x + 1) + 5x Combine like terms: x + -12x = -11x -6 + -11x = 6(x + 1) + 5x Reorder the terms: -6 + -11x = 6(1 + x) + 5x -6 + -11x = (1 * 6 + x * 6) + 5x -6 + -11x = (6 + 6x) + 5x Combine like terms: 6x + 5x = 11x -6 + -11x = 6 + 11x Solving -6 + -11x = 6 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -6 + -11x + -11x = 6 + 11x + -11x Combine like terms: -11x + -11x = -22x -6 + -22x = 6 + 11x + -11x Combine like terms: 11x + -11x = 0 -6 + -22x = 6 + 0 -6 + -22x = 6 Add '6' to each side of the equation. -6 + 6 + -22x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -22x = 6 + 6 -22x = 6 + 6 Combine like terms: 6 + 6 = 12 -22x = 12 Divide each side by '-22'. x = -0.5454545455 Simplifying x = -0.5454545455
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