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Simplifying 3x + 52 = 10x + -4 Reorder the terms: 52 + 3x = 10x + -4 Reorder the terms: 52 + 3x = -4 + 10x Solving 52 + 3x = -4 + 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. 52 + 3x + -10x = -4 + 10x + -10x Combine like terms: 3x + -10x = -7x 52 + -7x = -4 + 10x + -10x Combine like terms: 10x + -10x = 0 52 + -7x = -4 + 0 52 + -7x = -4 Add '-52' to each side of the equation. 52 + -52 + -7x = -4 + -52 Combine like terms: 52 + -52 = 0 0 + -7x = -4 + -52 -7x = -4 + -52 Combine like terms: -4 + -52 = -56 -7x = -56 Divide each side by '-7'. x = 8 Simplifying x = 8
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