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Simplifying -6x + 3 = -101 + 7x Reorder the terms: 3 + -6x = -101 + 7x Solving 3 + -6x = -101 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 3 + -6x + -7x = -101 + 7x + -7x Combine like terms: -6x + -7x = -13x 3 + -13x = -101 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + -13x = -101 + 0 3 + -13x = -101 Add '-3' to each side of the equation. 3 + -3 + -13x = -101 + -3 Combine like terms: 3 + -3 = 0 0 + -13x = -101 + -3 -13x = -101 + -3 Combine like terms: -101 + -3 = -104 -13x = -104 Divide each side by '-13'. x = 8 Simplifying x = 8
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