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Simplifying 6x + -1(4x + -7) = 5 + -1x Reorder the terms: 6x + -1(-7 + 4x) = 5 + -1x 6x + (-7 * -1 + 4x * -1) = 5 + -1x 6x + (7 + -4x) = 5 + -1x Reorder the terms: 7 + 6x + -4x = 5 + -1x Combine like terms: 6x + -4x = 2x 7 + 2x = 5 + -1x Solving 7 + 2x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 7 + 2x + x = 5 + -1x + x Combine like terms: 2x + x = 3x 7 + 3x = 5 + -1x + x Combine like terms: -1x + x = 0 7 + 3x = 5 + 0 7 + 3x = 5 Add '-7' to each side of the equation. 7 + -7 + 3x = 5 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 5 + -7 3x = 5 + -7 Combine like terms: 5 + -7 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667
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