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Simplifying 7 + 5(x + -2) = 10 + -5(x + -7) Reorder the terms: 7 + 5(-2 + x) = 10 + -5(x + -7) 7 + (-2 * 5 + x * 5) = 10 + -5(x + -7) 7 + (-10 + 5x) = 10 + -5(x + -7) Combine like terms: 7 + -10 = -3 -3 + 5x = 10 + -5(x + -7) Reorder the terms: -3 + 5x = 10 + -5(-7 + x) -3 + 5x = 10 + (-7 * -5 + x * -5) -3 + 5x = 10 + (35 + -5x) Combine like terms: 10 + 35 = 45 -3 + 5x = 45 + -5x Solving -3 + 5x = 45 + -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. -3 + 5x + 5x = 45 + -5x + 5x Combine like terms: 5x + 5x = 10x -3 + 10x = 45 + -5x + 5x Combine like terms: -5x + 5x = 0 -3 + 10x = 45 + 0 -3 + 10x = 45 Add '3' to each side of the equation. -3 + 3 + 10x = 45 + 3 Combine like terms: -3 + 3 = 0 0 + 10x = 45 + 3 10x = 45 + 3 Combine like terms: 45 + 3 = 48 10x = 48 Divide each side by '10'. x = 4.8 Simplifying x = 4.8
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