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Simplifying -8x + 30 = 6(x + -2) Reorder the terms: 30 + -8x = 6(x + -2) Reorder the terms: 30 + -8x = 6(-2 + x) 30 + -8x = (-2 * 6 + x * 6) 30 + -8x = (-12 + 6x) Solving 30 + -8x = -12 + 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. 30 + -8x + -6x = -12 + 6x + -6x Combine like terms: -8x + -6x = -14x 30 + -14x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 30 + -14x = -12 + 0 30 + -14x = -12 Add '-30' to each side of the equation. 30 + -30 + -14x = -12 + -30 Combine like terms: 30 + -30 = 0 0 + -14x = -12 + -30 -14x = -12 + -30 Combine like terms: -12 + -30 = -42 -14x = -42 Divide each side by '-14'. x = 3 Simplifying x = 3
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