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