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Simplifying 1 + -5x = 3(2x + -7) Reorder the terms: 1 + -5x = 3(-7 + 2x) 1 + -5x = (-7 * 3 + 2x * 3) 1 + -5x = (-21 + 6x) Solving 1 + -5x = -21 + 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. 1 + -5x + -6x = -21 + 6x + -6x Combine like terms: -5x + -6x = -11x 1 + -11x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -11x = -21 + 0 1 + -11x = -21 Add '-1' to each side of the equation. 1 + -1 + -11x = -21 + -1 Combine like terms: 1 + -1 = 0 0 + -11x = -21 + -1 -11x = -21 + -1 Combine like terms: -21 + -1 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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