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Simplifying -4(x + 7) = -5x + 35 Reorder the terms: -4(7 + x) = -5x + 35 (7 * -4 + x * -4) = -5x + 35 (-28 + -4x) = -5x + 35 Reorder the terms: -28 + -4x = 35 + -5x Solving -28 + -4x = 35 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -28 + -4x + 5x = 35 + -5x + 5x Combine like terms: -4x + 5x = 1x -28 + 1x = 35 + -5x + 5x Combine like terms: -5x + 5x = 0 -28 + 1x = 35 + 0 -28 + 1x = 35 Add '28' to each side of the equation. -28 + 28 + 1x = 35 + 28 Combine like terms: -28 + 28 = 0 0 + 1x = 35 + 28 1x = 35 + 28 Combine like terms: 35 + 28 = 63 1x = 63 Divide each side by '1'. x = 63 Simplifying x = 63
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