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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 = -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 = -74 3x = -74 Divide each side by '3'. x = -24.66666667 Simplifying x = -24.66666667
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