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Simplifying 1 + -3(-1x + 6) = 7(-1x + 2) + -1 Reorder the terms: 1 + -3(6 + -1x) = 7(-1x + 2) + -1 1 + (6 * -3 + -1x * -3) = 7(-1x + 2) + -1 1 + (-18 + 3x) = 7(-1x + 2) + -1 Combine like terms: 1 + -18 = -17 -17 + 3x = 7(-1x + 2) + -1 Reorder the terms: -17 + 3x = 7(2 + -1x) + -1 -17 + 3x = (2 * 7 + -1x * 7) + -1 -17 + 3x = (14 + -7x) + -1 Reorder the terms: -17 + 3x = 14 + -1 + -7x Combine like terms: 14 + -1 = 13 -17 + 3x = 13 + -7x Solving -17 + 3x = 13 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -17 + 3x + 7x = 13 + -7x + 7x Combine like terms: 3x + 7x = 10x -17 + 10x = 13 + -7x + 7x Combine like terms: -7x + 7x = 0 -17 + 10x = 13 + 0 -17 + 10x = 13 Add '17' to each side of the equation. -17 + 17 + 10x = 13 + 17 Combine like terms: -17 + 17 = 0 0 + 10x = 13 + 17 10x = 13 + 17 Combine like terms: 13 + 17 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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