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Simplifying 3[2(3x + -6) + -3(4x + -1)] = 8x + 51 Reorder the terms: 3[2(-6 + 3x) + -3(4x + -1)] = 8x + 51 3[(-6 * 2 + 3x * 2) + -3(4x + -1)] = 8x + 51 3[(-12 + 6x) + -3(4x + -1)] = 8x + 51 Reorder the terms: 3[-12 + 6x + -3(-1 + 4x)] = 8x + 51 3[-12 + 6x + (-1 * -3 + 4x * -3)] = 8x + 51 3[-12 + 6x + (3 + -12x)] = 8x + 51 Reorder the terms: 3[-12 + 3 + 6x + -12x] = 8x + 51 Combine like terms: -12 + 3 = -9 3[-9 + 6x + -12x] = 8x + 51 Combine like terms: 6x + -12x = -6x 3[-9 + -6x] = 8x + 51 [-9 * 3 + -6x * 3] = 8x + 51 [-27 + -18x] = 8x + 51 Reorder the terms: -27 + -18x = 51 + 8x Solving -27 + -18x = 51 + 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. -27 + -18x + -8x = 51 + 8x + -8x Combine like terms: -18x + -8x = -26x -27 + -26x = 51 + 8x + -8x Combine like terms: 8x + -8x = 0 -27 + -26x = 51 + 0 -27 + -26x = 51 Add '27' to each side of the equation. -27 + 27 + -26x = 51 + 27 Combine like terms: -27 + 27 = 0 0 + -26x = 51 + 27 -26x = 51 + 27 Combine like terms: 51 + 27 = 78 -26x = 78 Divide each side by '-26'. x = -3 Simplifying x = -3
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