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