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Simplifying 3x + 39 = 10x + -24 Reorder the terms: 39 + 3x = 10x + -24 Reorder the terms: 39 + 3x = -24 + 10x Solving 39 + 3x = -24 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 39 + 3x + -10x = -24 + 10x + -10x Combine like terms: 3x + -10x = -7x 39 + -7x = -24 + 10x + -10x Combine like terms: 10x + -10x = 0 39 + -7x = -24 + 0 39 + -7x = -24 Add '-39' to each side of the equation. 39 + -39 + -7x = -24 + -39 Combine like terms: 39 + -39 = 0 0 + -7x = -24 + -39 -7x = -24 + -39 Combine like terms: -24 + -39 = -63 -7x = -63 Divide each side by '-7'. x = 9 Simplifying x = 9
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