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Simplifying -3(5x + 6) = 38 + -8x Reorder the terms: -3(6 + 5x) = 38 + -8x (6 * -3 + 5x * -3) = 38 + -8x (-18 + -15x) = 38 + -8x Solving -18 + -15x = 38 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -18 + -15x + 8x = 38 + -8x + 8x Combine like terms: -15x + 8x = -7x -18 + -7x = 38 + -8x + 8x Combine like terms: -8x + 8x = 0 -18 + -7x = 38 + 0 -18 + -7x = 38 Add '18' to each side of the equation. -18 + 18 + -7x = 38 + 18 Combine like terms: -18 + 18 = 0 0 + -7x = 38 + 18 -7x = 38 + 18 Combine like terms: 38 + 18 = 56 -7x = 56 Divide each side by '-7'. x = -8 Simplifying x = -8
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