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Simplifying -6x + 1 = -1 + -2(2x + -7) Reorder the terms: 1 + -6x = -1 + -2(2x + -7) Reorder the terms: 1 + -6x = -1 + -2(-7 + 2x) 1 + -6x = -1 + (-7 * -2 + 2x * -2) 1 + -6x = -1 + (14 + -4x) Combine like terms: -1 + 14 = 13 1 + -6x = 13 + -4x Solving 1 + -6x = 13 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 1 + -6x + 4x = 13 + -4x + 4x Combine like terms: -6x + 4x = -2x 1 + -2x = 13 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + -2x = 13 + 0 1 + -2x = 13 Add '-1' to each side of the equation. 1 + -1 + -2x = 13 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 13 + -1 -2x = 13 + -1 Combine like terms: 13 + -1 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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