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Simplifying -8x + -38 = 6(x + 3) Reorder the terms: -38 + -8x = 6(x + 3) Reorder the terms: -38 + -8x = 6(3 + x) -38 + -8x = (3 * 6 + x * 6) -38 + -8x = (18 + 6x) Solving -38 + -8x = 18 + 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 + -8x + -6x = 18 + 6x + -6x Combine like terms: -8x + -6x = -14x -38 + -14x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -38 + -14x = 18 + 0 -38 + -14x = 18 Add '38' to each side of the equation. -38 + 38 + -14x = 18 + 38 Combine like terms: -38 + 38 = 0 0 + -14x = 18 + 38 -14x = 18 + 38 Combine like terms: 18 + 38 = 56 -14x = 56 Divide each side by '-14'. x = -4 Simplifying x = -4
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