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Simplifying x + 1(3x + -2) = 5x + -4(3x + 2) Reorder the terms: x + 1(-2 + 3x) = 5x + -4(3x + 2) x + (-2 * 1 + 3x * 1) = 5x + -4(3x + 2) x + (-2 + 3x) = 5x + -4(3x + 2) Reorder the terms: -2 + x + 3x = 5x + -4(3x + 2) Combine like terms: x + 3x = 4x -2 + 4x = 5x + -4(3x + 2) Reorder the terms: -2 + 4x = 5x + -4(2 + 3x) -2 + 4x = 5x + (2 * -4 + 3x * -4) -2 + 4x = 5x + (-8 + -12x) Reorder the terms: -2 + 4x = -8 + 5x + -12x Combine like terms: 5x + -12x = -7x -2 + 4x = -8 + -7x Solving -2 + 4x = -8 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -2 + 4x + 7x = -8 + -7x + 7x Combine like terms: 4x + 7x = 11x -2 + 11x = -8 + -7x + 7x Combine like terms: -7x + 7x = 0 -2 + 11x = -8 + 0 -2 + 11x = -8 Add '2' to each side of the equation. -2 + 2 + 11x = -8 + 2 Combine like terms: -2 + 2 = 0 0 + 11x = -8 + 2 11x = -8 + 2 Combine like terms: -8 + 2 = -6 11x = -6 Divide each side by '11'. x = -0.5454545455 Simplifying x = -0.5454545455
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