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Simplifying -38 = -4x + -2(-3x + 14) Reorder the terms: -38 = -4x + -2(14 + -3x) -38 = -4x + (14 * -2 + -3x * -2) -38 = -4x + (-28 + 6x) Reorder the terms: -38 = -28 + -4x + 6x Combine like terms: -4x + 6x = 2x -38 = -28 + 2x Solving -38 = -28 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -38 + -2x = -28 + 2x + -2x Combine like terms: 2x + -2x = 0 -38 + -2x = -28 + 0 -38 + -2x = -28 Add '38' to each side of the equation. -38 + 38 + -2x = -28 + 38 Combine like terms: -38 + 38 = 0 0 + -2x = -28 + 38 -2x = -28 + 38 Combine like terms: -28 + 38 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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