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Simplifying 3x + 32 = 10x + -53 Reorder the terms: 32 + 3x = 10x + -53 Reorder the terms: 32 + 3x = -53 + 10x Solving 32 + 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. 32 + 3x + -10x = -53 + 10x + -10x Combine like terms: 3x + -10x = -7x 32 + -7x = -53 + 10x + -10x Combine like terms: 10x + -10x = 0 32 + -7x = -53 + 0 32 + -7x = -53 Add '-32' to each side of the equation. 32 + -32 + -7x = -53 + -32 Combine like terms: 32 + -32 = 0 0 + -7x = -53 + -32 -7x = -53 + -32 Combine like terms: -53 + -32 = -85 -7x = -85 Divide each side by '-7'. x = 12.14285714 Simplifying x = 12.14285714
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