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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 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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