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Simplifying -3x + -38 = 2(4x + 3) Reorder the terms: -38 + -3x = 2(4x + 3) Reorder the terms: -38 + -3x = 2(3 + 4x) -38 + -3x = (3 * 2 + 4x * 2) -38 + -3x = (6 + 8x) Solving -38 + -3x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -38 + -3x + -8x = 6 + 8x + -8x Combine like terms: -3x + -8x = -11x -38 + -11x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 -38 + -11x = 6 + 0 -38 + -11x = 6 Add '38' to each side of the equation. -38 + 38 + -11x = 6 + 38 Combine like terms: -38 + 38 = 0 0 + -11x = 6 + 38 -11x = 6 + 38 Combine like terms: 6 + 38 = 44 -11x = 44 Divide each side by '-11'. x = -4 Simplifying x = -4
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