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Simplifying -6x + 38 = 8(x + -4) Reorder the terms: 38 + -6x = 8(x + -4) Reorder the terms: 38 + -6x = 8(-4 + x) 38 + -6x = (-4 * 8 + x * 8) 38 + -6x = (-32 + 8x) Solving 38 + -6x = -32 + 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 + -6x + -8x = -32 + 8x + -8x Combine like terms: -6x + -8x = -14x 38 + -14x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 38 + -14x = -32 + 0 38 + -14x = -32 Add '-38' to each side of the equation. 38 + -38 + -14x = -32 + -38 Combine like terms: 38 + -38 = 0 0 + -14x = -32 + -38 -14x = -32 + -38 Combine like terms: -32 + -38 = -70 -14x = -70 Divide each side by '-14'. x = 5 Simplifying x = 5
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