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Simplifying 8(x + -7) = 2x + -38 Reorder the terms: 8(-7 + x) = 2x + -38 (-7 * 8 + x * 8) = 2x + -38 (-56 + 8x) = 2x + -38 Reorder the terms: -56 + 8x = -38 + 2x Solving -56 + 8x = -38 + 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. -56 + 8x + -2x = -38 + 2x + -2x Combine like terms: 8x + -2x = 6x -56 + 6x = -38 + 2x + -2x Combine like terms: 2x + -2x = 0 -56 + 6x = -38 + 0 -56 + 6x = -38 Add '56' to each side of the equation. -56 + 56 + 6x = -38 + 56 Combine like terms: -56 + 56 = 0 0 + 6x = -38 + 56 6x = -38 + 56 Combine like terms: -38 + 56 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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