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Simplifying 6x + -1(x + -7) = 2x + -1(6 + x) Reorder the terms: 6x + -1(-7 + x) = 2x + -1(6 + x) 6x + (-7 * -1 + x * -1) = 2x + -1(6 + x) 6x + (7 + -1x) = 2x + -1(6 + x) Reorder the terms: 7 + 6x + -1x = 2x + -1(6 + x) Combine like terms: 6x + -1x = 5x 7 + 5x = 2x + -1(6 + x) 7 + 5x = 2x + (6 * -1 + x * -1) 7 + 5x = 2x + (-6 + -1x) Reorder the terms: 7 + 5x = -6 + 2x + -1x Combine like terms: 2x + -1x = 1x 7 + 5x = -6 + 1x Solving 7 + 5x = -6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + 5x + -1x = -6 + 1x + -1x Combine like terms: 5x + -1x = 4x 7 + 4x = -6 + 1x + -1x Combine like terms: 1x + -1x = 0 7 + 4x = -6 + 0 7 + 4x = -6 Add '-7' to each side of the equation. 7 + -7 + 4x = -6 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = -6 + -7 4x = -6 + -7 Combine like terms: -6 + -7 = -13 4x = -13 Divide each side by '4'. x = -3.25 Simplifying x = -3.25
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