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