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Simplifying -3(-6x + 5) + 2(3 + 4x) = 6 + 27x Reorder the terms: -3(5 + -6x) + 2(3 + 4x) = 6 + 27x (5 * -3 + -6x * -3) + 2(3 + 4x) = 6 + 27x (-15 + 18x) + 2(3 + 4x) = 6 + 27x -15 + 18x + (3 * 2 + 4x * 2) = 6 + 27x -15 + 18x + (6 + 8x) = 6 + 27x Reorder the terms: -15 + 6 + 18x + 8x = 6 + 27x Combine like terms: -15 + 6 = -9 -9 + 18x + 8x = 6 + 27x Combine like terms: 18x + 8x = 26x -9 + 26x = 6 + 27x Solving -9 + 26x = 6 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -9 + 26x + -27x = 6 + 27x + -27x Combine like terms: 26x + -27x = -1x -9 + -1x = 6 + 27x + -27x Combine like terms: 27x + -27x = 0 -9 + -1x = 6 + 0 -9 + -1x = 6 Add '9' to each side of the equation. -9 + 9 + -1x = 6 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 6 + 9 -1x = 6 + 9 Combine like terms: 6 + 9 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15
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