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Simplifying 10x + -43 = 39 + 7(x + 10) Reorder the terms: -43 + 10x = 39 + 7(x + 10) Reorder the terms: -43 + 10x = 39 + 7(10 + x) -43 + 10x = 39 + (10 * 7 + x * 7) -43 + 10x = 39 + (70 + 7x) Combine like terms: 39 + 70 = 109 -43 + 10x = 109 + 7x Solving -43 + 10x = 109 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -43 + 10x + -7x = 109 + 7x + -7x Combine like terms: 10x + -7x = 3x -43 + 3x = 109 + 7x + -7x Combine like terms: 7x + -7x = 0 -43 + 3x = 109 + 0 -43 + 3x = 109 Add '43' to each side of the equation. -43 + 43 + 3x = 109 + 43 Combine like terms: -43 + 43 = 0 0 + 3x = 109 + 43 3x = 109 + 43 Combine like terms: 109 + 43 = 152 3x = 152 Divide each side by '3'. x = 50.66666667 Simplifying x = 50.66666667
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