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Simplifying 4(x + -5) + -5(x + 7) = 9x Reorder the terms: 4(-5 + x) + -5(x + 7) = 9x (-5 * 4 + x * 4) + -5(x + 7) = 9x (-20 + 4x) + -5(x + 7) = 9x Reorder the terms: -20 + 4x + -5(7 + x) = 9x -20 + 4x + (7 * -5 + x * -5) = 9x -20 + 4x + (-35 + -5x) = 9x Reorder the terms: -20 + -35 + 4x + -5x = 9x Combine like terms: -20 + -35 = -55 -55 + 4x + -5x = 9x Combine like terms: 4x + -5x = -1x -55 + -1x = 9x Solving -55 + -1x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -55 + -1x + -9x = 9x + -9x Combine like terms: -1x + -9x = -10x -55 + -10x = 9x + -9x Combine like terms: 9x + -9x = 0 -55 + -10x = 0 Add '55' to each side of the equation. -55 + 55 + -10x = 0 + 55 Combine like terms: -55 + 55 = 0 0 + -10x = 0 + 55 -10x = 0 + 55 Combine like terms: 0 + 55 = 55 -10x = 55 Divide each side by '-10'. x = -5.5 Simplifying x = -5.5
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