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Simplifying -6x + 1 = 3(2x + 1) + x Reorder the terms: 1 + -6x = 3(2x + 1) + x Reorder the terms: 1 + -6x = 3(1 + 2x) + x 1 + -6x = (1 * 3 + 2x * 3) + x 1 + -6x = (3 + 6x) + x Combine like terms: 6x + x = 7x 1 + -6x = 3 + 7x Solving 1 + -6x = 3 + 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. 1 + -6x + -7x = 3 + 7x + -7x Combine like terms: -6x + -7x = -13x 1 + -13x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -13x = 3 + 0 1 + -13x = 3 Add '-1' to each side of the equation. 1 + -1 + -13x = 3 + -1 Combine like terms: 1 + -1 = 0 0 + -13x = 3 + -1 -13x = 3 + -1 Combine like terms: 3 + -1 = 2 -13x = 2 Divide each side by '-13'. x = -0.1538461538 Simplifying x = -0.1538461538
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