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Simplifying 4(x + -2) + 38 = -2x Reorder the terms: 4(-2 + x) + 38 = -2x (-2 * 4 + x * 4) + 38 = -2x (-8 + 4x) + 38 = -2x Reorder the terms: -8 + 38 + 4x = -2x Combine like terms: -8 + 38 = 30 30 + 4x = -2x Solving 30 + 4x = -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. 30 + 4x + 2x = -2x + 2x Combine like terms: 4x + 2x = 6x 30 + 6x = -2x + 2x Combine like terms: -2x + 2x = 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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