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Simplifying 38 = 6(x + 4) + -8x Reorder the terms: 38 = 6(4 + x) + -8x 38 = (4 * 6 + x * 6) + -8x 38 = (24 + 6x) + -8x Combine like terms: 6x + -8x = -2x 38 = 24 + -2x Solving 38 = 24 + -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 = 24 + -2x + 2x Combine like terms: -2x + 2x = 0 38 + 2x = 24 + 0 38 + 2x = 24 Add '-38' to each side of the equation. 38 + -38 + 2x = 24 + -38 Combine like terms: 38 + -38 = 0 0 + 2x = 24 + -38 2x = 24 + -38 Combine like terms: 24 + -38 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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