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Simplifying -4x + -3(x + 1) = 2(3x + 2) Reorder the terms: -4x + -3(1 + x) = 2(3x + 2) -4x + (1 * -3 + x * -3) = 2(3x + 2) -4x + (-3 + -3x) = 2(3x + 2) Reorder the terms: -3 + -4x + -3x = 2(3x + 2) Combine like terms: -4x + -3x = -7x -3 + -7x = 2(3x + 2) Reorder the terms: -3 + -7x = 2(2 + 3x) -3 + -7x = (2 * 2 + 3x * 2) -3 + -7x = (4 + 6x) Solving -3 + -7x = 4 + 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. -3 + -7x + -6x = 4 + 6x + -6x Combine like terms: -7x + -6x = -13x -3 + -13x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -13x = 4 + 0 -3 + -13x = 4 Add '3' to each side of the equation. -3 + 3 + -13x = 4 + 3 Combine like terms: -3 + 3 = 0 0 + -13x = 4 + 3 -13x = 4 + 3 Combine like terms: 4 + 3 = 7 -13x = 7 Divide each side by '-13'. x = -0.5384615385 Simplifying x = -0.5384615385
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