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Simplifying -7(-4 + 5x) = -3x + -4 (-4 * -7 + 5x * -7) = -3x + -4 (28 + -35x) = -3x + -4 Reorder the terms: 28 + -35x = -4 + -3x Solving 28 + -35x = -4 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 28 + -35x + 3x = -4 + -3x + 3x Combine like terms: -35x + 3x = -32x 28 + -32x = -4 + -3x + 3x Combine like terms: -3x + 3x = 0 28 + -32x = -4 + 0 28 + -32x = -4 Add '-28' to each side of the equation. 28 + -28 + -32x = -4 + -28 Combine like terms: 28 + -28 = 0 0 + -32x = -4 + -28 -32x = -4 + -28 Combine like terms: -4 + -28 = -32 -32x = -32 Divide each side by '-32'. x = 1 Simplifying x = 1
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