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Simplifying 6(x + 7) + -8x = 38 Reorder the terms: 6(7 + x) + -8x = 38 (7 * 6 + x * 6) + -8x = 38 (42 + 6x) + -8x = 38 Combine like terms: 6x + -8x = -2x 42 + -2x = 38 Solving 42 + -2x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -2x = 38 + -42 Combine like terms: 42 + -42 = 0 0 + -2x = 38 + -42 -2x = 38 + -42 Combine like terms: 38 + -42 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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