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Simplifying 8x + -30 = -6(x + -9) Reorder the terms: -30 + 8x = -6(x + -9) Reorder the terms: -30 + 8x = -6(-9 + x) -30 + 8x = (-9 * -6 + x * -6) -30 + 8x = (54 + -6x) Solving -30 + 8x = 54 + -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 = 54 + -6x + 6x Combine like terms: 8x + 6x = 14x -30 + 14x = 54 + -6x + 6x Combine like terms: -6x + 6x = 0 -30 + 14x = 54 + 0 -30 + 14x = 54 Add '30' to each side of the equation. -30 + 30 + 14x = 54 + 30 Combine like terms: -30 + 30 = 0 0 + 14x = 54 + 30 14x = 54 + 30 Combine like terms: 54 + 30 = 84 14x = 84 Divide each side by '14'. x = 6 Simplifying x = 6
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