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Simplifying 5(4x + -7) + -4(x + 5) = 2x + 166 + x Reorder the terms: 5(-7 + 4x) + -4(x + 5) = 2x + 166 + x (-7 * 5 + 4x * 5) + -4(x + 5) = 2x + 166 + x (-35 + 20x) + -4(x + 5) = 2x + 166 + x Reorder the terms: -35 + 20x + -4(5 + x) = 2x + 166 + x -35 + 20x + (5 * -4 + x * -4) = 2x + 166 + x -35 + 20x + (-20 + -4x) = 2x + 166 + x Reorder the terms: -35 + -20 + 20x + -4x = 2x + 166 + x Combine like terms: -35 + -20 = -55 -55 + 20x + -4x = 2x + 166 + x Combine like terms: 20x + -4x = 16x -55 + 16x = 2x + 166 + x Reorder the terms: -55 + 16x = 166 + 2x + x Combine like terms: 2x + x = 3x -55 + 16x = 166 + 3x Solving -55 + 16x = 166 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -55 + 16x + -3x = 166 + 3x + -3x Combine like terms: 16x + -3x = 13x -55 + 13x = 166 + 3x + -3x Combine like terms: 3x + -3x = 0 -55 + 13x = 166 + 0 -55 + 13x = 166 Add '55' to each side of the equation. -55 + 55 + 13x = 166 + 55 Combine like terms: -55 + 55 = 0 0 + 13x = 166 + 55 13x = 166 + 55 Combine like terms: 166 + 55 = 221 13x = 221 Divide each side by '13'. x = 17 Simplifying x = 17
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