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Simplifying -1(-7x + -3) + 7(-5x + -4) = -53 Reorder the terms: -1(-3 + -7x) + 7(-5x + -4) = -53 (-3 * -1 + -7x * -1) + 7(-5x + -4) = -53 (3 + 7x) + 7(-5x + -4) = -53 Reorder the terms: 3 + 7x + 7(-4 + -5x) = -53 3 + 7x + (-4 * 7 + -5x * 7) = -53 3 + 7x + (-28 + -35x) = -53 Reorder the terms: 3 + -28 + 7x + -35x = -53 Combine like terms: 3 + -28 = -25 -25 + 7x + -35x = -53 Combine like terms: 7x + -35x = -28x -25 + -28x = -53 Solving -25 + -28x = -53 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -28x = -53 + 25 Combine like terms: -25 + 25 = 0 0 + -28x = -53 + 25 -28x = -53 + 25 Combine like terms: -53 + 25 = -28 -28x = -28 Divide each side by '-28'. x = 1 Simplifying x = 1
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