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Simplifying -5x + 12 = -7(-2x + 1) Reorder the terms: 12 + -5x = -7(-2x + 1) Reorder the terms: 12 + -5x = -7(1 + -2x) 12 + -5x = (1 * -7 + -2x * -7) 12 + -5x = (-7 + 14x) Solving 12 + -5x = -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. 12 + -5x + -14x = -7 + 14x + -14x Combine like terms: -5x + -14x = -19x 12 + -19x = -7 + 14x + -14x Combine like terms: 14x + -14x = 0 12 + -19x = -7 + 0 12 + -19x = -7 Add '-12' to each side of the equation. 12 + -12 + -19x = -7 + -12 Combine like terms: 12 + -12 = 0 0 + -19x = -7 + -12 -19x = -7 + -12 Combine like terms: -7 + -12 = -19 -19x = -19 Divide each side by '-19'. x = 1 Simplifying x = 1
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