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Simplifying -38 = -8x + 2(x + -7) Reorder the terms: -38 = -8x + 2(-7 + x) -38 = -8x + (-7 * 2 + x * 2) -38 = -8x + (-14 + 2x) Reorder the terms: -38 = -14 + -8x + 2x Combine like terms: -8x + 2x = -6x -38 = -14 + -6x Solving -38 = -14 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -38 + 6x = -14 + -6x + 6x Combine like terms: -6x + 6x = 0 -38 + 6x = -14 + 0 -38 + 6x = -14 Add '38' to each side of the equation. -38 + 38 + 6x = -14 + 38 Combine like terms: -38 + 38 = 0 0 + 6x = -14 + 38 6x = -14 + 38 Combine like terms: -14 + 38 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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