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Simplifying 3x + -45 = -4x + -10 Reorder the terms: -45 + 3x = -4x + -10 Reorder the terms: -45 + 3x = -10 + -4x Solving -45 + 3x = -10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -45 + 3x + 4x = -10 + -4x + 4x Combine like terms: 3x + 4x = 7x -45 + 7x = -10 + -4x + 4x Combine like terms: -4x + 4x = 0 -45 + 7x = -10 + 0 -45 + 7x = -10 Add '45' to each side of the equation. -45 + 45 + 7x = -10 + 45 Combine like terms: -45 + 45 = 0 0 + 7x = -10 + 45 7x = -10 + 45 Combine like terms: -10 + 45 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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