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Simplifying 4x + -10 = -3x + 46 Reorder the terms: -10 + 4x = -3x + 46 Reorder the terms: -10 + 4x = 46 + -3x Solving -10 + 4x = 46 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -10 + 4x + 3x = 46 + -3x + 3x Combine like terms: 4x + 3x = 7x -10 + 7x = 46 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + 7x = 46 + 0 -10 + 7x = 46 Add '10' to each side of the equation. -10 + 10 + 7x = 46 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = 46 + 10 7x = 46 + 10 Combine like terms: 46 + 10 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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