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Simplifying 3x + -10 = 2x + -45 + -4x Reorder the terms: -10 + 3x = 2x + -45 + -4x Reorder the terms: -10 + 3x = -45 + 2x + -4x Combine like terms: 2x + -4x = -2x -10 + 3x = -45 + -2x Solving -10 + 3x = -45 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -10 + 3x + 2x = -45 + -2x + 2x Combine like terms: 3x + 2x = 5x -10 + 5x = -45 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 5x = -45 + 0 -10 + 5x = -45 Add '10' to each side of the equation. -10 + 10 + 5x = -45 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = -45 + 10 5x = -45 + 10 Combine like terms: -45 + 10 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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