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Simplifying 3x + 31 = 10x + -53 Reorder the terms: 31 + 3x = 10x + -53 Reorder the terms: 31 + 3x = -53 + 10x Solving 31 + 3x = -53 + 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. 31 + 3x + -10x = -53 + 10x + -10x Combine like terms: 3x + -10x = -7x 31 + -7x = -53 + 10x + -10x Combine like terms: 10x + -10x = 0 31 + -7x = -53 + 0 31 + -7x = -53 Add '-31' to each side of the equation. 31 + -31 + -7x = -53 + -31 Combine like terms: 31 + -31 = 0 0 + -7x = -53 + -31 -7x = -53 + -31 Combine like terms: -53 + -31 = -84 -7x = -84 Divide each side by '-7'. x = 12 Simplifying x = 12
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