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Simplifying 8x + -7(4 + -1x) = 6 + 9(x + -2) 8x + (4 * -7 + -1x * -7) = 6 + 9(x + -2) 8x + (-28 + 7x) = 6 + 9(x + -2) Reorder the terms: -28 + 8x + 7x = 6 + 9(x + -2) Combine like terms: 8x + 7x = 15x -28 + 15x = 6 + 9(x + -2) Reorder the terms: -28 + 15x = 6 + 9(-2 + x) -28 + 15x = 6 + (-2 * 9 + x * 9) -28 + 15x = 6 + (-18 + 9x) Combine like terms: 6 + -18 = -12 -28 + 15x = -12 + 9x Solving -28 + 15x = -12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -28 + 15x + -9x = -12 + 9x + -9x Combine like terms: 15x + -9x = 6x -28 + 6x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 -28 + 6x = -12 + 0 -28 + 6x = -12 Add '28' to each side of the equation. -28 + 28 + 6x = -12 + 28 Combine like terms: -28 + 28 = 0 0 + 6x = -12 + 28 6x = -12 + 28 Combine like terms: -12 + 28 = 16 6x = 16 Divide each side by '6'. x = 2.666666667 Simplifying x = 2.666666667
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