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Simplifying 5(x + -4) + -3(4x + 5) = x + -35 Reorder the terms: 5(-4 + x) + -3(4x + 5) = x + -35 (-4 * 5 + x * 5) + -3(4x + 5) = x + -35 (-20 + 5x) + -3(4x + 5) = x + -35 Reorder the terms: -20 + 5x + -3(5 + 4x) = x + -35 -20 + 5x + (5 * -3 + 4x * -3) = x + -35 -20 + 5x + (-15 + -12x) = x + -35 Reorder the terms: -20 + -15 + 5x + -12x = x + -35 Combine like terms: -20 + -15 = -35 -35 + 5x + -12x = x + -35 Combine like terms: 5x + -12x = -7x -35 + -7x = x + -35 Reorder the terms: -35 + -7x = -35 + x Add '35' to each side of the equation. -35 + 35 + -7x = -35 + 35 + x Combine like terms: -35 + 35 = 0 0 + -7x = -35 + 35 + x -7x = -35 + 35 + x Combine like terms: -35 + 35 = 0 -7x = 0 + x -7x = x Solving -7x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7x + -1x = x + -1x Combine like terms: -7x + -1x = -8x -8x = x + -1x Combine like terms: x + -1x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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