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Simplifying 3(x + -1) + -2(x + -6) = x + 2 + 7x Reorder the terms: 3(-1 + x) + -2(x + -6) = x + 2 + 7x (-1 * 3 + x * 3) + -2(x + -6) = x + 2 + 7x (-3 + 3x) + -2(x + -6) = x + 2 + 7x Reorder the terms: -3 + 3x + -2(-6 + x) = x + 2 + 7x -3 + 3x + (-6 * -2 + x * -2) = x + 2 + 7x -3 + 3x + (12 + -2x) = x + 2 + 7x Reorder the terms: -3 + 12 + 3x + -2x = x + 2 + 7x Combine like terms: -3 + 12 = 9 9 + 3x + -2x = x + 2 + 7x Combine like terms: 3x + -2x = 1x 9 + 1x = x + 2 + 7x Reorder the terms: 9 + 1x = 2 + x + 7x Combine like terms: x + 7x = 8x 9 + 1x = 2 + 8x Solving 9 + 1x = 2 + 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. 9 + 1x + -8x = 2 + 8x + -8x Combine like terms: 1x + -8x = -7x 9 + -7x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 9 + -7x = 2 + 0 9 + -7x = 2 Add '-9' to each side of the equation. 9 + -9 + -7x = 2 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = 2 + -9 -7x = 2 + -9 Combine like terms: 2 + -9 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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