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Simplifying 6x + -2(x + -1) = x + -7(7 + -1x) Reorder the terms: 6x + -2(-1 + x) = x + -7(7 + -1x) 6x + (-1 * -2 + x * -2) = x + -7(7 + -1x) 6x + (2 + -2x) = x + -7(7 + -1x) Reorder the terms: 2 + 6x + -2x = x + -7(7 + -1x) Combine like terms: 6x + -2x = 4x 2 + 4x = x + -7(7 + -1x) 2 + 4x = x + (7 * -7 + -1x * -7) 2 + 4x = x + (-49 + 7x) Reorder the terms: 2 + 4x = -49 + x + 7x Combine like terms: x + 7x = 8x 2 + 4x = -49 + 8x Solving 2 + 4x = -49 + 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. 2 + 4x + -8x = -49 + 8x + -8x Combine like terms: 4x + -8x = -4x 2 + -4x = -49 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -4x = -49 + 0 2 + -4x = -49 Add '-2' to each side of the equation. 2 + -2 + -4x = -49 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = -49 + -2 -4x = -49 + -2 Combine like terms: -49 + -2 = -51 -4x = -51 Divide each side by '-4'. x = 12.75 Simplifying x = 12.75
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