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Simplifying 7 + -10x = 47 + -24x Solving 7 + -10x = 47 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 7 + -10x + 24x = 47 + -24x + 24x Combine like terms: -10x + 24x = 14x 7 + 14x = 47 + -24x + 24x Combine like terms: -24x + 24x = 0 7 + 14x = 47 + 0 7 + 14x = 47 Add '-7' to each side of the equation. 7 + -7 + 14x = 47 + -7 Combine like terms: 7 + -7 = 0 0 + 14x = 47 + -7 14x = 47 + -7 Combine like terms: 47 + -7 = 40 14x = 40 Divide each side by '14'. x = 2.857142857 Simplifying x = 2.857142857
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