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Simplifying -4(-4x + 4) + -7x = 5(x + -5) + -9 Reorder the terms: -4(4 + -4x) + -7x = 5(x + -5) + -9 (4 * -4 + -4x * -4) + -7x = 5(x + -5) + -9 (-16 + 16x) + -7x = 5(x + -5) + -9 Combine like terms: 16x + -7x = 9x -16 + 9x = 5(x + -5) + -9 Reorder the terms: -16 + 9x = 5(-5 + x) + -9 -16 + 9x = (-5 * 5 + x * 5) + -9 -16 + 9x = (-25 + 5x) + -9 Reorder the terms: -16 + 9x = -25 + -9 + 5x Combine like terms: -25 + -9 = -34 -16 + 9x = -34 + 5x Solving -16 + 9x = -34 + 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. -16 + 9x + -5x = -34 + 5x + -5x Combine like terms: 9x + -5x = 4x -16 + 4x = -34 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + 4x = -34 + 0 -16 + 4x = -34 Add '16' to each side of the equation. -16 + 16 + 4x = -34 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = -34 + 16 4x = -34 + 16 Combine like terms: -34 + 16 = -18 4x = -18 Divide each side by '4'. x = -4.5 Simplifying x = -4.5
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