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Simplifying -33 + x = -7(-2x + 1) Reorder the terms: -33 + x = -7(1 + -2x) -33 + x = (1 * -7 + -2x * -7) -33 + x = (-7 + 14x) Solving -33 + x = -7 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -33 + x + -14x = -7 + 14x + -14x Combine like terms: x + -14x = -13x -33 + -13x = -7 + 14x + -14x Combine like terms: 14x + -14x = 0 -33 + -13x = -7 + 0 -33 + -13x = -7 Add '33' to each side of the equation. -33 + 33 + -13x = -7 + 33 Combine like terms: -33 + 33 = 0 0 + -13x = -7 + 33 -13x = -7 + 33 Combine like terms: -7 + 33 = 26 -13x = 26 Divide each side by '-13'. x = -2 Simplifying x = -2
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