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Simplifying (-1x + 2) * 5 = (-1x + -4) * 7 Reorder the terms: (2 + -1x) * 5 = (-1x + -4) * 7 Reorder the terms for easier multiplication: 5(2 + -1x) = (-1x + -4) * 7 (2 * 5 + -1x * 5) = (-1x + -4) * 7 (10 + -5x) = (-1x + -4) * 7 Reorder the terms: 10 + -5x = (-4 + -1x) * 7 Reorder the terms for easier multiplication: 10 + -5x = 7(-4 + -1x) 10 + -5x = (-4 * 7 + -1x * 7) 10 + -5x = (-28 + -7x) Solving 10 + -5x = -28 + -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. 10 + -5x + 7x = -28 + -7x + 7x Combine like terms: -5x + 7x = 2x 10 + 2x = -28 + -7x + 7x Combine like terms: -7x + 7x = 0 10 + 2x = -28 + 0 10 + 2x = -28 Add '-10' to each side of the equation. 10 + -10 + 2x = -28 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = -28 + -10 2x = -28 + -10 Combine like terms: -28 + -10 = -38 2x = -38 Divide each side by '2'. x = -19 Simplifying x = -19
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