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Simplifying 13 + 10x = 47 + -24x Solving 13 + 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. 13 + 10x + 24x = 47 + -24x + 24x Combine like terms: 10x + 24x = 34x 13 + 34x = 47 + -24x + 24x Combine like terms: -24x + 24x = 0 13 + 34x = 47 + 0 13 + 34x = 47 Add '-13' to each side of the equation. 13 + -13 + 34x = 47 + -13 Combine like terms: 13 + -13 = 0 0 + 34x = 47 + -13 34x = 47 + -13 Combine like terms: 47 + -13 = 34 34x = 34 Divide each side by '34'. x = 1 Simplifying x = 1
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