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Simplifying 38 = -8x + 6(x + 3) Reorder the terms: 38 = -8x + 6(3 + x) 38 = -8x + (3 * 6 + x * 6) 38 = -8x + (18 + 6x) Reorder the terms: 38 = 18 + -8x + 6x Combine like terms: -8x + 6x = -2x 38 = 18 + -2x Solving 38 = 18 + -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 = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 38 + 2x = 18 + 0 38 + 2x = 18 Add '-38' to each side of the equation. 38 + -38 + 2x = 18 + -38 Combine like terms: 38 + -38 = 0 0 + 2x = 18 + -38 2x = 18 + -38 Combine like terms: 18 + -38 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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