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Simplifying 6x + -1(x + -7) = 2x + -1(3 + x) Reorder the terms: 6x + -1(-7 + x) = 2x + -1(3 + x) 6x + (-7 * -1 + x * -1) = 2x + -1(3 + x) 6x + (7 + -1x) = 2x + -1(3 + x) Reorder the terms: 7 + 6x + -1x = 2x + -1(3 + x) Combine like terms: 6x + -1x = 5x 7 + 5x = 2x + -1(3 + x) 7 + 5x = 2x + (3 * -1 + x * -1) 7 + 5x = 2x + (-3 + -1x) Reorder the terms: 7 + 5x = -3 + 2x + -1x Combine like terms: 2x + -1x = 1x 7 + 5x = -3 + 1x Solving 7 + 5x = -3 + 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 = -3 + 1x + -1x Combine like terms: 5x + -1x = 4x 7 + 4x = -3 + 1x + -1x Combine like terms: 1x + -1x = 0 7 + 4x = -3 + 0 7 + 4x = -3 Add '-7' to each side of the equation. 7 + -7 + 4x = -3 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = -3 + -7 4x = -3 + -7 Combine like terms: -3 + -7 = -10 4x = -10 Divide each side by '4'. x = -2.5 Simplifying x = -2.5
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