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Simplifying 8x + -9 + 3(6x + -2) = 4 + -1(7x + -2) + 6x Reorder the terms: 8x + -9 + 3(-2 + 6x) = 4 + -1(7x + -2) + 6x 8x + -9 + (-2 * 3 + 6x * 3) = 4 + -1(7x + -2) + 6x 8x + -9 + (-6 + 18x) = 4 + -1(7x + -2) + 6x Reorder the terms: -9 + -6 + 8x + 18x = 4 + -1(7x + -2) + 6x Combine like terms: -9 + -6 = -15 -15 + 8x + 18x = 4 + -1(7x + -2) + 6x Combine like terms: 8x + 18x = 26x -15 + 26x = 4 + -1(7x + -2) + 6x Reorder the terms: -15 + 26x = 4 + -1(-2 + 7x) + 6x -15 + 26x = 4 + (-2 * -1 + 7x * -1) + 6x -15 + 26x = 4 + (2 + -7x) + 6x Combine like terms: 4 + 2 = 6 -15 + 26x = 6 + -7x + 6x Combine like terms: -7x + 6x = -1x -15 + 26x = 6 + -1x Solving -15 + 26x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -15 + 26x + x = 6 + -1x + x Combine like terms: 26x + x = 27x -15 + 27x = 6 + -1x + x Combine like terms: -1x + x = 0 -15 + 27x = 6 + 0 -15 + 27x = 6 Add '15' to each side of the equation. -15 + 15 + 27x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 27x = 6 + 15 27x = 6 + 15 Combine like terms: 6 + 15 = 21 27x = 21 Divide each side by '27'. x = 0.7777777778 Simplifying x = 0.7777777778
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