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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 Reorder the terms: -42 + 6x = -38 + 8x Solving -42 + 6x = -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 + 6x + -8x = -38 + 8x + -8x Combine like terms: 6x + -8x = -2x -42 + -2x = -38 + 8x + -8x Combine like terms: 8x + -8x = 0 -42 + -2x = -38 + 0 -42 + -2x = -38 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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