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Simplifying 10x + -43 = 39 + 7x + -70 Reorder the terms: -43 + 10x = 39 + 7x + -70 Reorder the terms: -43 + 10x = 39 + -70 + 7x Combine like terms: 39 + -70 = -31 -43 + 10x = -31 + 7x Solving -43 + 10x = -31 + 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 = -31 + 7x + -7x Combine like terms: 10x + -7x = 3x -43 + 3x = -31 + 7x + -7x Combine like terms: 7x + -7x = 0 -43 + 3x = -31 + 0 -43 + 3x = -31 Add '43' to each side of the equation. -43 + 43 + 3x = -31 + 43 Combine like terms: -43 + 43 = 0 0 + 3x = -31 + 43 3x = -31 + 43 Combine like terms: -31 + 43 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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