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Simplifying 6(-3x + 7) = -38 + -8x Reorder the terms: 6(7 + -3x) = -38 + -8x (7 * 6 + -3x * 6) = -38 + -8x (42 + -18x) = -38 + -8x Solving 42 + -18x = -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. 42 + -18x + 8x = -38 + -8x + 8x Combine like terms: -18x + 8x = -10x 42 + -10x = -38 + -8x + 8x Combine like terms: -8x + 8x = 0 42 + -10x = -38 + 0 42 + -10x = -38 Add '-42' to each side of the equation. 42 + -42 + -10x = -38 + -42 Combine like terms: 42 + -42 = 0 0 + -10x = -38 + -42 -10x = -38 + -42 Combine like terms: -38 + -42 = -80 -10x = -80 Divide each side by '-10'. x = 8 Simplifying x = 8
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