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Simplifying -46 = 7(-4 + -1x) + -5(-7x + -2) -46 = (-4 * 7 + -1x * 7) + -5(-7x + -2) -46 = (-28 + -7x) + -5(-7x + -2) Reorder the terms: -46 = -28 + -7x + -5(-2 + -7x) -46 = -28 + -7x + (-2 * -5 + -7x * -5) -46 = -28 + -7x + (10 + 35x) Reorder the terms: -46 = -28 + 10 + -7x + 35x Combine like terms: -28 + 10 = -18 -46 = -18 + -7x + 35x Combine like terms: -7x + 35x = 28x -46 = -18 + 28x Solving -46 = -18 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -46 + -28x = -18 + 28x + -28x Combine like terms: 28x + -28x = 0 -46 + -28x = -18 + 0 -46 + -28x = -18 Add '46' to each side of the equation. -46 + 46 + -28x = -18 + 46 Combine like terms: -46 + 46 = 0 0 + -28x = -18 + 46 -28x = -18 + 46 Combine like terms: -18 + 46 = 28 -28x = 28 Divide each side by '-28'. x = -1 Simplifying x = -1
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