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Simplifying 2x + -38 = -4(x + 5) Reorder the terms: -38 + 2x = -4(x + 5) Reorder the terms: -38 + 2x = -4(5 + x) -38 + 2x = (5 * -4 + x * -4) -38 + 2x = (-20 + -4x) Solving -38 + 2x = -20 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -38 + 2x + 4x = -20 + -4x + 4x Combine like terms: 2x + 4x = 6x -38 + 6x = -20 + -4x + 4x Combine like terms: -4x + 4x = 0 -38 + 6x = -20 + 0 -38 + 6x = -20 Add '38' to each side of the equation. -38 + 38 + 6x = -20 + 38 Combine like terms: -38 + 38 = 0 0 + 6x = -20 + 38 6x = -20 + 38 Combine like terms: -20 + 38 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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