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Simplifying 2(x + -4) + 38 = -4x Reorder the terms: 2(-4 + x) + 38 = -4x (-4 * 2 + x * 2) + 38 = -4x (-8 + 2x) + 38 = -4x Reorder the terms: -8 + 38 + 2x = -4x Combine like terms: -8 + 38 = 30 30 + 2x = -4x Solving 30 + 2x = -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. 30 + 2x + 4x = -4x + 4x Combine like terms: 2x + 4x = 6x 30 + 6x = -4x + 4x Combine like terms: -4x + 4x = 0 30 + 6x = 0 Add '-30' to each side of the equation. 30 + -30 + 6x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 6x = 0 + -30 6x = 0 + -30 Combine like terms: 0 + -30 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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