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Simplifying 38 + -8x = 2(4 + -7x) 38 + -8x = (4 * 2 + -7x * 2) 38 + -8x = (8 + -14x) Solving 38 + -8x = 8 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 38 + -8x + 14x = 8 + -14x + 14x Combine like terms: -8x + 14x = 6x 38 + 6x = 8 + -14x + 14x Combine like terms: -14x + 14x = 0 38 + 6x = 8 + 0 38 + 6x = 8 Add '-38' to each side of the equation. 38 + -38 + 6x = 8 + -38 Combine like terms: 38 + -38 = 0 0 + 6x = 8 + -38 6x = 8 + -38 Combine like terms: 8 + -38 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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