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Simplifying 3x + -53 = 38 + 10x Reorder the terms: -53 + 3x = 38 + 10x Solving -53 + 3x = 38 + 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. -53 + 3x + -10x = 38 + 10x + -10x Combine like terms: 3x + -10x = -7x -53 + -7x = 38 + 10x + -10x Combine like terms: 10x + -10x = 0 -53 + -7x = 38 + 0 -53 + -7x = 38 Add '53' to each side of the equation. -53 + 53 + -7x = 38 + 53 Combine like terms: -53 + 53 = 0 0 + -7x = 38 + 53 -7x = 38 + 53 Combine like terms: 38 + 53 = 91 -7x = 91 Divide each side by '-7'. x = -13 Simplifying x = -13
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