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Simplifying 5(x + -5) + -1(4x + -4) = -7 Reorder the terms: 5(-5 + x) + -1(4x + -4) = -7 (-5 * 5 + x * 5) + -1(4x + -4) = -7 (-25 + 5x) + -1(4x + -4) = -7 Reorder the terms: -25 + 5x + -1(-4 + 4x) = -7 -25 + 5x + (-4 * -1 + 4x * -1) = -7 -25 + 5x + (4 + -4x) = -7 Reorder the terms: -25 + 4 + 5x + -4x = -7 Combine like terms: -25 + 4 = -21 -21 + 5x + -4x = -7 Combine like terms: 5x + -4x = 1x -21 + 1x = -7 Solving -21 + 1x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 1x = -7 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = -7 + 21 1x = -7 + 21 Combine like terms: -7 + 21 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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