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Simplifying 5(2x + -7) + -4 = 5(x + -5) + 16 Reorder the terms: 5(-7 + 2x) + -4 = 5(x + -5) + 16 (-7 * 5 + 2x * 5) + -4 = 5(x + -5) + 16 (-35 + 10x) + -4 = 5(x + -5) + 16 Reorder the terms: -35 + -4 + 10x = 5(x + -5) + 16 Combine like terms: -35 + -4 = -39 -39 + 10x = 5(x + -5) + 16 Reorder the terms: -39 + 10x = 5(-5 + x) + 16 -39 + 10x = (-5 * 5 + x * 5) + 16 -39 + 10x = (-25 + 5x) + 16 Reorder the terms: -39 + 10x = -25 + 16 + 5x Combine like terms: -25 + 16 = -9 -39 + 10x = -9 + 5x Solving -39 + 10x = -9 + 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. -39 + 10x + -5x = -9 + 5x + -5x Combine like terms: 10x + -5x = 5x -39 + 5x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 -39 + 5x = -9 + 0 -39 + 5x = -9 Add '39' to each side of the equation. -39 + 39 + 5x = -9 + 39 Combine like terms: -39 + 39 = 0 0 + 5x = -9 + 39 5x = -9 + 39 Combine like terms: -9 + 39 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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