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Simplifying -3x + 7 = 5 + -1(6x + 2) Reorder the terms: 7 + -3x = 5 + -1(6x + 2) Reorder the terms: 7 + -3x = 5 + -1(2 + 6x) 7 + -3x = 5 + (2 * -1 + 6x * -1) 7 + -3x = 5 + (-2 + -6x) Combine like terms: 5 + -2 = 3 7 + -3x = 3 + -6x Solving 7 + -3x = 3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 7 + -3x + 6x = 3 + -6x + 6x Combine like terms: -3x + 6x = 3x 7 + 3x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 7 + 3x = 3 + 0 7 + 3x = 3 Add '-7' to each side of the equation. 7 + -7 + 3x = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 3 + -7 3x = 3 + -7 Combine like terms: 3 + -7 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333
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